KILLED proof of input_PNtWh60eD3.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (4) CpxTRS (5) CpxTrsToCdtProof [UPPER BOUND(ID), 63 ms] (6) CdtProblem (7) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (10) TRS for Loop Detection (11) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (12) CpxRelTRS (13) TypeInferenceProof [BOTH BOUNDS(ID, ID), 5 ms] (14) typed CpxTrs (15) OrderProof [LOWER BOUND(ID), 141 ms] (16) typed CpxTrs (17) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (18) CpxWeightedTrs (19) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxTypedWeightedTrs (21) CompletionProof [UPPER BOUND(ID), 0 ms] (22) CpxTypedWeightedCompleteTrs (23) NarrowingProof [BOTH BOUNDS(ID, ID), 895 ms] (24) CpxTypedWeightedCompleteTrs (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 20 ms] (26) CpxRNTS (27) InliningProof [UPPER BOUND(ID), 1019 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 19 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 7 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (36) CdtProblem (37) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (38) CdtProblem (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 3 ms] (42) CdtProblem (43) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (44) CpxRelTRS (45) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (46) CpxTRS (47) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (48) CpxWeightedTrs (49) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (50) CpxTypedWeightedTrs (51) CompletionProof [UPPER BOUND(ID), 0 ms] (52) CpxTypedWeightedCompleteTrs (53) NarrowingProof [BOTH BOUNDS(ID, ID), 7466 ms] (54) CpxTypedWeightedCompleteTrs (55) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 55 ms] (56) CpxRNTS (57) InliningProof [UPPER BOUND(ID), 1999 ms] (58) CpxRNTS (59) SimplificationProof [BOTH BOUNDS(ID, ID), 36 ms] (60) CpxRNTS (61) CompletionProof [UPPER BOUND(ID), 60 ms] (62) CpxTypedWeightedCompleteTrs (63) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 1 ms] (64) CpxRNTS (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (68) CdtProblem (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (70) CdtProblem (71) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (72) CdtProblem (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (74) CdtProblem (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (76) CdtProblem (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2 ms] (78) CdtProblem (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (82) CdtProblem (83) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CdtProblem (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (86) CdtProblem (87) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (88) CdtProblem (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (90) CdtProblem (91) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (92) CdtProblem (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (94) CdtProblem (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (96) CdtProblem (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (98) CdtProblem (99) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (100) CdtProblem (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (102) CdtProblem (103) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (104) CdtProblem (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (106) CdtProblem (107) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (108) CdtProblem (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (110) CdtProblem (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (112) CdtProblem (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (114) CdtProblem (115) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (116) CdtProblem (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 50 ms] (118) CdtProblem (119) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (120) CdtProblem (121) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (122) CdtProblem (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (124) CdtProblem (125) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (126) CdtProblem (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3 ms] (128) CdtProblem (129) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (130) CdtProblem (131) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (132) CdtProblem (133) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (134) CdtProblem (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (136) CdtProblem (137) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (138) CdtProblem (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (140) CdtProblem (141) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (142) CdtProblem (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (144) CdtProblem (145) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (146) CdtProblem (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 67 ms] (148) CdtProblem (149) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (150) CdtProblem (151) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (152) CdtProblem (153) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (154) CdtProblem (155) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 91 ms] (156) CdtProblem (157) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (158) CdtProblem (159) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (160) CdtProblem (161) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (162) CdtProblem (163) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 128 ms] (164) CdtProblem (165) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (166) CdtProblem (167) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (168) CdtProblem (169) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (170) CdtProblem (171) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 92 ms] (172) CdtProblem (173) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 9 ms] (174) CdtProblem (175) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (176) CdtProblem (177) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (178) CdtProblem (179) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 129 ms] (180) CdtProblem (181) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (182) CdtProblem (183) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (184) CdtProblem (185) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (186) CdtProblem (187) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 104 ms] (188) CdtProblem (189) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 11 ms] (190) CdtProblem (191) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 8 ms] (192) CdtProblem (193) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (194) CdtProblem (195) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 137 ms] (196) CdtProblem (197) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 5 ms] (198) CdtProblem (199) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (200) CdtProblem (201) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 19 ms] (202) CdtProblem (203) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 188 ms] (204) CdtProblem (205) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (206) CdtProblem (207) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 12 ms] (208) CdtProblem (209) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (210) CdtProblem (211) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 198 ms] (212) CdtProblem (213) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (214) CdtProblem (215) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (216) CdtProblem (217) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 22 ms] (218) CdtProblem (219) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 215 ms] (220) CdtProblem (221) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (222) CdtProblem (223) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (224) CdtProblem (225) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 1 ms] (226) CdtProblem (227) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 196 ms] (228) CdtProblem (229) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 12 ms] (230) CdtProblem (231) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 4 ms] (232) CdtProblem (233) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (234) CdtProblem (235) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 246 ms] (236) CdtProblem (237) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (238) CdtProblem (239) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (240) CdtProblem (241) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (242) CdtProblem (243) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 257 ms] (244) CdtProblem (245) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (246) CdtProblem (247) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (248) CdtProblem (249) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (250) CdtProblem (251) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 266 ms] (252) CdtProblem (253) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 17 ms] (254) CdtProblem (255) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (256) CdtProblem (257) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 13 ms] (258) CdtProblem (259) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 268 ms] (260) CdtProblem (261) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 12 ms] (262) CdtProblem (263) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (264) CdtProblem (265) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 26 ms] (266) CdtProblem (267) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 270 ms] (268) CdtProblem (269) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 2 ms] (270) CdtProblem (271) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (272) CdtProblem (273) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 17 ms] (274) CdtProblem (275) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 306 ms] (276) CdtProblem (277) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (278) CdtProblem (279) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 6 ms] (280) CdtProblem (281) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 17 ms] (282) CdtProblem ---------------------------------------- (0) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__zeros -> cons(0, zeros) a__U11(tt, V1) -> a__U12(a__isNatIListKind(V1), V1) a__U12(tt, V1) -> a__U13(a__isNatList(V1)) a__U13(tt) -> tt a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) a__U22(tt, V1) -> a__U23(a__isNat(V1)) a__U23(tt) -> tt a__U31(tt, V) -> a__U32(a__isNatIListKind(V), V) a__U32(tt, V) -> a__U33(a__isNatList(V)) a__U33(tt) -> tt a__U41(tt, V1, V2) -> a__U42(a__isNatKind(V1), V1, V2) a__U42(tt, V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2) a__U43(tt, V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2) a__U44(tt, V1, V2) -> a__U45(a__isNat(V1), V2) a__U45(tt, V2) -> a__U46(a__isNatIList(V2)) a__U46(tt) -> tt a__U51(tt, V2) -> a__U52(a__isNatIListKind(V2)) a__U52(tt) -> tt a__U61(tt) -> tt a__U71(tt) -> tt a__U81(tt, V1, V2) -> a__U82(a__isNatKind(V1), V1, V2) a__U82(tt, V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2) a__U83(tt, V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2) a__U84(tt, V1, V2) -> a__U85(a__isNat(V1), V2) a__U85(tt, V2) -> a__U86(a__isNatList(V2)) a__U86(tt) -> tt a__U91(tt, L, N) -> a__U92(a__isNatIListKind(L), L, N) a__U92(tt, L, N) -> a__U93(a__isNat(N), L, N) a__U93(tt, L, N) -> a__U94(a__isNatKind(N), L) a__U94(tt, L) -> s(a__length(mark(L))) a__isNat(0) -> tt a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) a__isNatIList(zeros) -> tt a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2) a__isNatKind(0) -> tt a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1)) a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1)) a__isNatList(nil) -> tt a__isNatList(cons(V1, V2)) -> a__U81(a__isNatKind(V1), V1, V2) a__length(nil) -> 0 a__length(cons(N, L)) -> a__U91(a__isNatList(L), L, N) mark(zeros) -> a__zeros mark(U11(X1, X2)) -> a__U11(mark(X1), X2) mark(U12(X1, X2)) -> a__U12(mark(X1), X2) mark(isNatIListKind(X)) -> a__isNatIListKind(X) mark(U13(X)) -> a__U13(mark(X)) mark(isNatList(X)) -> a__isNatList(X) mark(U21(X1, X2)) -> a__U21(mark(X1), X2) mark(U22(X1, X2)) -> a__U22(mark(X1), X2) mark(isNatKind(X)) -> a__isNatKind(X) mark(U23(X)) -> a__U23(mark(X)) mark(isNat(X)) -> a__isNat(X) mark(U31(X1, X2)) -> a__U31(mark(X1), X2) mark(U32(X1, X2)) -> a__U32(mark(X1), X2) mark(U33(X)) -> a__U33(mark(X)) mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3) mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3) mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3) mark(U45(X1, X2)) -> a__U45(mark(X1), X2) mark(U46(X)) -> a__U46(mark(X)) mark(isNatIList(X)) -> a__isNatIList(X) mark(U51(X1, X2)) -> a__U51(mark(X1), X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X)) -> a__U71(mark(X)) mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3) mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3) mark(U83(X1, X2, X3)) -> a__U83(mark(X1), X2, X3) mark(U84(X1, X2, X3)) -> a__U84(mark(X1), X2, X3) mark(U85(X1, X2)) -> a__U85(mark(X1), X2) mark(U86(X)) -> a__U86(mark(X)) mark(U91(X1, X2, X3)) -> a__U91(mark(X1), X2, X3) mark(U92(X1, X2, X3)) -> a__U92(mark(X1), X2, X3) mark(U93(X1, X2, X3)) -> a__U93(mark(X1), X2, X3) mark(U94(X1, X2)) -> a__U94(mark(X1), X2) mark(length(X)) -> a__length(mark(X)) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(0) -> 0 mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(nil) -> nil a__zeros -> zeros a__U11(X1, X2) -> U11(X1, X2) a__U12(X1, X2) -> U12(X1, X2) a__isNatIListKind(X) -> isNatIListKind(X) a__U13(X) -> U13(X) a__isNatList(X) -> isNatList(X) a__U21(X1, X2) -> U21(X1, X2) a__U22(X1, X2) -> U22(X1, X2) a__isNatKind(X) -> isNatKind(X) a__U23(X) -> U23(X) a__isNat(X) -> isNat(X) a__U31(X1, X2) -> U31(X1, X2) a__U32(X1, X2) -> U32(X1, X2) a__U33(X) -> U33(X) a__U41(X1, X2, X3) -> U41(X1, X2, X3) a__U42(X1, X2, X3) -> U42(X1, X2, X3) a__U43(X1, X2, X3) -> U43(X1, X2, X3) a__U44(X1, X2, X3) -> U44(X1, X2, X3) a__U45(X1, X2) -> U45(X1, X2) a__U46(X) -> U46(X) a__isNatIList(X) -> isNatIList(X) a__U51(X1, X2) -> U51(X1, X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X) -> U71(X) a__U81(X1, X2, X3) -> U81(X1, X2, X3) a__U82(X1, X2, X3) -> U82(X1, X2, X3) a__U83(X1, X2, X3) -> U83(X1, X2, X3) a__U84(X1, X2, X3) -> U84(X1, X2, X3) a__U85(X1, X2) -> U85(X1, X2) a__U86(X) -> U86(X) a__U91(X1, X2, X3) -> U91(X1, X2, X3) a__U92(X1, X2, X3) -> U92(X1, X2, X3) a__U93(X1, X2, X3) -> U93(X1, X2, X3) a__U94(X1, X2) -> U94(X1, X2) a__length(X) -> length(X) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__zeros -> cons(0', zeros) a__U11(tt, V1) -> a__U12(a__isNatIListKind(V1), V1) a__U12(tt, V1) -> a__U13(a__isNatList(V1)) a__U13(tt) -> tt a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) a__U22(tt, V1) -> a__U23(a__isNat(V1)) a__U23(tt) -> tt a__U31(tt, V) -> a__U32(a__isNatIListKind(V), V) a__U32(tt, V) -> a__U33(a__isNatList(V)) a__U33(tt) -> tt a__U41(tt, V1, V2) -> a__U42(a__isNatKind(V1), V1, V2) a__U42(tt, V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2) a__U43(tt, V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2) a__U44(tt, V1, V2) -> a__U45(a__isNat(V1), V2) a__U45(tt, V2) -> a__U46(a__isNatIList(V2)) a__U46(tt) -> tt a__U51(tt, V2) -> a__U52(a__isNatIListKind(V2)) a__U52(tt) -> tt a__U61(tt) -> tt a__U71(tt) -> tt a__U81(tt, V1, V2) -> a__U82(a__isNatKind(V1), V1, V2) a__U82(tt, V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2) a__U83(tt, V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2) a__U84(tt, V1, V2) -> a__U85(a__isNat(V1), V2) a__U85(tt, V2) -> a__U86(a__isNatList(V2)) a__U86(tt) -> tt a__U91(tt, L, N) -> a__U92(a__isNatIListKind(L), L, N) a__U92(tt, L, N) -> a__U93(a__isNat(N), L, N) a__U93(tt, L, N) -> a__U94(a__isNatKind(N), L) a__U94(tt, L) -> s(a__length(mark(L))) a__isNat(0') -> tt a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) a__isNatIList(zeros) -> tt a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2) a__isNatKind(0') -> tt a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1)) a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1)) a__isNatList(nil) -> tt a__isNatList(cons(V1, V2)) -> a__U81(a__isNatKind(V1), V1, V2) a__length(nil) -> 0' a__length(cons(N, L)) -> a__U91(a__isNatList(L), L, N) mark(zeros) -> a__zeros mark(U11(X1, X2)) -> a__U11(mark(X1), X2) mark(U12(X1, X2)) -> a__U12(mark(X1), X2) mark(isNatIListKind(X)) -> a__isNatIListKind(X) mark(U13(X)) -> a__U13(mark(X)) mark(isNatList(X)) -> a__isNatList(X) mark(U21(X1, X2)) -> a__U21(mark(X1), X2) mark(U22(X1, X2)) -> a__U22(mark(X1), X2) mark(isNatKind(X)) -> a__isNatKind(X) mark(U23(X)) -> a__U23(mark(X)) mark(isNat(X)) -> a__isNat(X) mark(U31(X1, X2)) -> a__U31(mark(X1), X2) mark(U32(X1, X2)) -> a__U32(mark(X1), X2) mark(U33(X)) -> a__U33(mark(X)) mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3) mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3) mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3) mark(U45(X1, X2)) -> a__U45(mark(X1), X2) mark(U46(X)) -> a__U46(mark(X)) mark(isNatIList(X)) -> a__isNatIList(X) mark(U51(X1, X2)) -> a__U51(mark(X1), X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X)) -> a__U71(mark(X)) mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3) mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3) mark(U83(X1, X2, X3)) -> a__U83(mark(X1), X2, X3) mark(U84(X1, X2, X3)) -> a__U84(mark(X1), X2, X3) mark(U85(X1, X2)) -> a__U85(mark(X1), X2) mark(U86(X)) -> a__U86(mark(X)) mark(U91(X1, X2, X3)) -> a__U91(mark(X1), X2, X3) mark(U92(X1, X2, X3)) -> a__U92(mark(X1), X2, X3) mark(U93(X1, X2, X3)) -> a__U93(mark(X1), X2, X3) mark(U94(X1, X2)) -> a__U94(mark(X1), X2) mark(length(X)) -> a__length(mark(X)) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(0') -> 0' mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(nil) -> nil a__zeros -> zeros a__U11(X1, X2) -> U11(X1, X2) a__U12(X1, X2) -> U12(X1, X2) a__isNatIListKind(X) -> isNatIListKind(X) a__U13(X) -> U13(X) a__isNatList(X) -> isNatList(X) a__U21(X1, X2) -> U21(X1, X2) a__U22(X1, X2) -> U22(X1, X2) a__isNatKind(X) -> isNatKind(X) a__U23(X) -> U23(X) a__isNat(X) -> isNat(X) a__U31(X1, X2) -> U31(X1, X2) a__U32(X1, X2) -> U32(X1, X2) a__U33(X) -> U33(X) a__U41(X1, X2, X3) -> U41(X1, X2, X3) a__U42(X1, X2, X3) -> U42(X1, X2, X3) a__U43(X1, X2, X3) -> U43(X1, X2, X3) a__U44(X1, X2, X3) -> U44(X1, X2, X3) a__U45(X1, X2) -> U45(X1, X2) a__U46(X) -> U46(X) a__isNatIList(X) -> isNatIList(X) a__U51(X1, X2) -> U51(X1, X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X) -> U71(X) a__U81(X1, X2, X3) -> U81(X1, X2, X3) a__U82(X1, X2, X3) -> U82(X1, X2, X3) a__U83(X1, X2, X3) -> U83(X1, X2, X3) a__U84(X1, X2, X3) -> U84(X1, X2, X3) a__U85(X1, X2) -> U85(X1, X2) a__U86(X) -> U86(X) a__U91(X1, X2, X3) -> U91(X1, X2, X3) a__U92(X1, X2, X3) -> U92(X1, X2, X3) a__U93(X1, X2, X3) -> U93(X1, X2, X3) a__U94(X1, X2) -> U94(X1, X2) a__length(X) -> length(X) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (3) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (4) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__zeros -> cons(0, zeros) a__U11(tt, V1) -> a__U12(a__isNatIListKind(V1), V1) a__U12(tt, V1) -> a__U13(a__isNatList(V1)) a__U13(tt) -> tt a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) a__U22(tt, V1) -> a__U23(a__isNat(V1)) a__U23(tt) -> tt a__U31(tt, V) -> a__U32(a__isNatIListKind(V), V) a__U32(tt, V) -> a__U33(a__isNatList(V)) a__U33(tt) -> tt a__U41(tt, V1, V2) -> a__U42(a__isNatKind(V1), V1, V2) a__U42(tt, V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2) a__U43(tt, V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2) a__U44(tt, V1, V2) -> a__U45(a__isNat(V1), V2) a__U45(tt, V2) -> a__U46(a__isNatIList(V2)) a__U46(tt) -> tt a__U51(tt, V2) -> a__U52(a__isNatIListKind(V2)) a__U52(tt) -> tt a__U61(tt) -> tt a__U71(tt) -> tt a__U81(tt, V1, V2) -> a__U82(a__isNatKind(V1), V1, V2) a__U82(tt, V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2) a__U83(tt, V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2) a__U84(tt, V1, V2) -> a__U85(a__isNat(V1), V2) a__U85(tt, V2) -> a__U86(a__isNatList(V2)) a__U86(tt) -> tt a__U91(tt, L, N) -> a__U92(a__isNatIListKind(L), L, N) a__U92(tt, L, N) -> a__U93(a__isNat(N), L, N) a__U93(tt, L, N) -> a__U94(a__isNatKind(N), L) a__U94(tt, L) -> s(a__length(mark(L))) a__isNat(0) -> tt a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) a__isNatIList(zeros) -> tt a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2) a__isNatKind(0) -> tt a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1)) a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1)) a__isNatList(nil) -> tt a__isNatList(cons(V1, V2)) -> a__U81(a__isNatKind(V1), V1, V2) a__length(nil) -> 0 a__length(cons(N, L)) -> a__U91(a__isNatList(L), L, N) mark(zeros) -> a__zeros mark(U11(X1, X2)) -> a__U11(mark(X1), X2) mark(U12(X1, X2)) -> a__U12(mark(X1), X2) mark(isNatIListKind(X)) -> a__isNatIListKind(X) mark(U13(X)) -> a__U13(mark(X)) mark(isNatList(X)) -> a__isNatList(X) mark(U21(X1, X2)) -> a__U21(mark(X1), X2) mark(U22(X1, X2)) -> a__U22(mark(X1), X2) mark(isNatKind(X)) -> a__isNatKind(X) mark(U23(X)) -> a__U23(mark(X)) mark(isNat(X)) -> a__isNat(X) mark(U31(X1, X2)) -> a__U31(mark(X1), X2) mark(U32(X1, X2)) -> a__U32(mark(X1), X2) mark(U33(X)) -> a__U33(mark(X)) mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3) mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3) mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3) mark(U45(X1, X2)) -> a__U45(mark(X1), X2) mark(U46(X)) -> a__U46(mark(X)) mark(isNatIList(X)) -> a__isNatIList(X) mark(U51(X1, X2)) -> a__U51(mark(X1), X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X)) -> a__U71(mark(X)) mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3) mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3) mark(U83(X1, X2, X3)) -> a__U83(mark(X1), X2, X3) mark(U84(X1, X2, X3)) -> a__U84(mark(X1), X2, X3) mark(U85(X1, X2)) -> a__U85(mark(X1), X2) mark(U86(X)) -> a__U86(mark(X)) mark(U91(X1, X2, X3)) -> a__U91(mark(X1), X2, X3) mark(U92(X1, X2, X3)) -> a__U92(mark(X1), X2, X3) mark(U93(X1, X2, X3)) -> a__U93(mark(X1), X2, X3) mark(U94(X1, X2)) -> a__U94(mark(X1), X2) mark(length(X)) -> a__length(mark(X)) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(0) -> 0 mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(nil) -> nil a__zeros -> zeros a__U11(X1, X2) -> U11(X1, X2) a__U12(X1, X2) -> U12(X1, X2) a__isNatIListKind(X) -> isNatIListKind(X) a__U13(X) -> U13(X) a__isNatList(X) -> isNatList(X) a__U21(X1, X2) -> U21(X1, X2) a__U22(X1, X2) -> U22(X1, X2) a__isNatKind(X) -> isNatKind(X) a__U23(X) -> U23(X) a__isNat(X) -> isNat(X) a__U31(X1, X2) -> U31(X1, X2) a__U32(X1, X2) -> U32(X1, X2) a__U33(X) -> U33(X) a__U41(X1, X2, X3) -> U41(X1, X2, X3) a__U42(X1, X2, X3) -> U42(X1, X2, X3) a__U43(X1, X2, X3) -> U43(X1, X2, X3) a__U44(X1, X2, X3) -> U44(X1, X2, X3) a__U45(X1, X2) -> U45(X1, X2) a__U46(X) -> U46(X) a__isNatIList(X) -> isNatIList(X) a__U51(X1, X2) -> U51(X1, X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X) -> U71(X) a__U81(X1, X2, X3) -> U81(X1, X2, X3) a__U82(X1, X2, X3) -> U82(X1, X2, X3) a__U83(X1, X2, X3) -> U83(X1, X2, X3) a__U84(X1, X2, X3) -> U84(X1, X2, X3) a__U85(X1, X2) -> U85(X1, X2) a__U86(X) -> U86(X) a__U91(X1, X2, X3) -> U91(X1, X2, X3) a__U92(X1, X2, X3) -> U92(X1, X2, X3) a__U93(X1, X2, X3) -> U93(X1, X2, X3) a__U94(X1, X2) -> U94(X1, X2) a__length(X) -> length(X) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (5) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (6) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ZEROS -> c A__ZEROS -> c1 A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U11(z0, z1) -> c3 A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U12(z0, z1) -> c5 A__U13(tt) -> c6 A__U13(z0) -> c7 A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U21(z0, z1) -> c9 A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U22(z0, z1) -> c11 A__U23(tt) -> c12 A__U23(z0) -> c13 A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U31(z0, z1) -> c15 A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U32(z0, z1) -> c17 A__U33(tt) -> c18 A__U33(z0) -> c19 A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U41(z0, z1, z2) -> c21 A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U42(z0, z1, z2) -> c23 A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(z0, z1, z2) -> c25 A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U44(z0, z1, z2) -> c27 A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U45(z0, z1) -> c29 A__U46(tt) -> c30 A__U46(z0) -> c31 A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U51(z0, z1) -> c33 A__U52(tt) -> c34 A__U52(z0) -> c35 A__U61(tt) -> c36 A__U61(z0) -> c37 A__U71(tt) -> c38 A__U71(z0) -> c39 A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U81(z0, z1, z2) -> c41 A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U82(z0, z1, z2) -> c43 A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(z0, z1, z2) -> c45 A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U84(z0, z1, z2) -> c47 A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U85(z0, z1) -> c49 A__U86(tt) -> c50 A__U86(z0) -> c51 A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U91(z0, z1, z2) -> c53 A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U92(z0, z1, z2) -> c55 A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U93(z0, z1, z2) -> c57 A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__U94(z0, z1) -> c59 A__ISNAT(0) -> c60 A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNAT(z0) -> c63 A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(zeros) -> c65 A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c67 A__ISNATILISTKIND(nil) -> c68 A__ISNATILISTKIND(zeros) -> c69 A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(z0) -> c71 A__ISNATKIND(0) -> c72 A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATKIND(z0) -> c75 A__ISNATLIST(nil) -> c76 A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATLIST(z0) -> c78 A__LENGTH(nil) -> c79 A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) A__LENGTH(z0) -> c81 MARK(zeros) -> c82(A__ZEROS) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(0) -> c119 MARK(tt) -> c120 MARK(s(z0)) -> c121(MARK(z0)) MARK(nil) -> c122 S tuples: A__ZEROS -> c A__ZEROS -> c1 A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U11(z0, z1) -> c3 A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U12(z0, z1) -> c5 A__U13(tt) -> c6 A__U13(z0) -> c7 A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U21(z0, z1) -> c9 A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U22(z0, z1) -> c11 A__U23(tt) -> c12 A__U23(z0) -> c13 A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U31(z0, z1) -> c15 A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U32(z0, z1) -> c17 A__U33(tt) -> c18 A__U33(z0) -> c19 A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U41(z0, z1, z2) -> c21 A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U42(z0, z1, z2) -> c23 A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(z0, z1, z2) -> c25 A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U44(z0, z1, z2) -> c27 A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U45(z0, z1) -> c29 A__U46(tt) -> c30 A__U46(z0) -> c31 A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U51(z0, z1) -> c33 A__U52(tt) -> c34 A__U52(z0) -> c35 A__U61(tt) -> c36 A__U61(z0) -> c37 A__U71(tt) -> c38 A__U71(z0) -> c39 A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U81(z0, z1, z2) -> c41 A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U82(z0, z1, z2) -> c43 A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(z0, z1, z2) -> c45 A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U84(z0, z1, z2) -> c47 A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U85(z0, z1) -> c49 A__U86(tt) -> c50 A__U86(z0) -> c51 A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U91(z0, z1, z2) -> c53 A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U92(z0, z1, z2) -> c55 A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U93(z0, z1, z2) -> c57 A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__U94(z0, z1) -> c59 A__ISNAT(0) -> c60 A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNAT(z0) -> c63 A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(zeros) -> c65 A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c67 A__ISNATILISTKIND(nil) -> c68 A__ISNATILISTKIND(zeros) -> c69 A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(z0) -> c71 A__ISNATKIND(0) -> c72 A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATKIND(z0) -> c75 A__ISNATLIST(nil) -> c76 A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATLIST(z0) -> c78 A__LENGTH(nil) -> c79 A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) A__LENGTH(z0) -> c81 MARK(zeros) -> c82(A__ZEROS) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(0) -> c119 MARK(tt) -> c120 MARK(s(z0)) -> c121(MARK(z0)) MARK(nil) -> c122 K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ZEROS, A__U11_2, A__U12_2, A__U13_1, A__U21_2, A__U22_2, A__U23_1, A__U31_2, A__U32_2, A__U33_1, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U45_2, A__U46_1, A__U51_2, A__U52_1, A__U61_1, A__U71_1, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U85_2, A__U86_1, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1 Compound Symbols: c, c1, c2_2, c3, c4_2, c5, c6, c7, c8_2, c9, c10_2, c11, c12, c13, c14_2, c15, c16_2, c17, c18, c19, c20_2, c21, c22_2, c23, c24_2, c25, c26_2, c27, c28_2, c29, c30, c31, c32_2, c33, c34, c35, c36, c37, c38, c39, c40_2, c41, c42_2, c43, c44_2, c45, c46_2, c47, c48_2, c49, c50, c51, c52_2, c53, c54_2, c55, c56_2, c57, c58_2, c59, c60, c61_2, c62_2, c63, c64_2, c65, c66_2, c67, c68, c69, c70_2, c71, c72, c73_2, c74_2, c75, c76, c77_2, c78, c79, c80_2, c81, c82_1, c83_2, c84_2, c85_1, c86_2, c87_1, c88_2, c89_2, c90_1, c91_2, c92_1, c93_2, c94_2, c95_2, c96_2, c97_2, c98_2, c99_2, c100_2, c101_2, c102_1, c103_2, c104_2, c105_2, c106_2, c107_2, c108_2, c109_2, c110_2, c111_2, c112_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c119, c120, c121_1, c122 ---------------------------------------- (7) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (8) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__ZEROS -> c A__ZEROS -> c1 A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U11(z0, z1) -> c3 A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U12(z0, z1) -> c5 A__U13(tt) -> c6 A__U13(z0) -> c7 A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U21(z0, z1) -> c9 A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U22(z0, z1) -> c11 A__U23(tt) -> c12 A__U23(z0) -> c13 A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U31(z0, z1) -> c15 A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U32(z0, z1) -> c17 A__U33(tt) -> c18 A__U33(z0) -> c19 A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U41(z0, z1, z2) -> c21 A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U42(z0, z1, z2) -> c23 A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(z0, z1, z2) -> c25 A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U44(z0, z1, z2) -> c27 A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U45(z0, z1) -> c29 A__U46(tt) -> c30 A__U46(z0) -> c31 A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U51(z0, z1) -> c33 A__U52(tt) -> c34 A__U52(z0) -> c35 A__U61(tt) -> c36 A__U61(z0) -> c37 A__U71(tt) -> c38 A__U71(z0) -> c39 A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U81(z0, z1, z2) -> c41 A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U82(z0, z1, z2) -> c43 A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(z0, z1, z2) -> c45 A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U84(z0, z1, z2) -> c47 A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U85(z0, z1) -> c49 A__U86(tt) -> c50 A__U86(z0) -> c51 A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U91(z0, z1, z2) -> c53 A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U92(z0, z1, z2) -> c55 A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U93(z0, z1, z2) -> c57 A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__U94(z0, z1) -> c59 A__ISNAT(0) -> c60 A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNAT(z0) -> c63 A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(zeros) -> c65 A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c67 A__ISNATILISTKIND(nil) -> c68 A__ISNATILISTKIND(zeros) -> c69 A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(z0) -> c71 A__ISNATKIND(0) -> c72 A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATKIND(z0) -> c75 A__ISNATLIST(nil) -> c76 A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATLIST(z0) -> c78 A__LENGTH(nil) -> c79 A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) A__LENGTH(z0) -> c81 MARK(zeros) -> c82(A__ZEROS) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(0) -> c119 MARK(tt) -> c120 MARK(s(z0)) -> c121(MARK(z0)) MARK(nil) -> c122 The (relative) TRS S consists of the following rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Rewrite Strategy: INNERMOST ---------------------------------------- (9) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (10) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__ZEROS -> c A__ZEROS -> c1 A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U11(z0, z1) -> c3 A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U12(z0, z1) -> c5 A__U13(tt) -> c6 A__U13(z0) -> c7 A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U21(z0, z1) -> c9 A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U22(z0, z1) -> c11 A__U23(tt) -> c12 A__U23(z0) -> c13 A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U31(z0, z1) -> c15 A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U32(z0, z1) -> c17 A__U33(tt) -> c18 A__U33(z0) -> c19 A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U41(z0, z1, z2) -> c21 A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U42(z0, z1, z2) -> c23 A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(z0, z1, z2) -> c25 A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U44(z0, z1, z2) -> c27 A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U45(z0, z1) -> c29 A__U46(tt) -> c30 A__U46(z0) -> c31 A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U51(z0, z1) -> c33 A__U52(tt) -> c34 A__U52(z0) -> c35 A__U61(tt) -> c36 A__U61(z0) -> c37 A__U71(tt) -> c38 A__U71(z0) -> c39 A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U81(z0, z1, z2) -> c41 A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U82(z0, z1, z2) -> c43 A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(z0, z1, z2) -> c45 A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U84(z0, z1, z2) -> c47 A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U85(z0, z1) -> c49 A__U86(tt) -> c50 A__U86(z0) -> c51 A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U91(z0, z1, z2) -> c53 A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U92(z0, z1, z2) -> c55 A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U93(z0, z1, z2) -> c57 A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__U94(z0, z1) -> c59 A__ISNAT(0) -> c60 A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNAT(z0) -> c63 A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(zeros) -> c65 A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c67 A__ISNATILISTKIND(nil) -> c68 A__ISNATILISTKIND(zeros) -> c69 A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(z0) -> c71 A__ISNATKIND(0) -> c72 A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATKIND(z0) -> c75 A__ISNATLIST(nil) -> c76 A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATLIST(z0) -> c78 A__LENGTH(nil) -> c79 A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) A__LENGTH(z0) -> c81 MARK(zeros) -> c82(A__ZEROS) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(0) -> c119 MARK(tt) -> c120 MARK(s(z0)) -> c121(MARK(z0)) MARK(nil) -> c122 The (relative) TRS S consists of the following rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Rewrite Strategy: INNERMOST ---------------------------------------- (11) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (12) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__ZEROS -> c A__ZEROS -> c1 A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U11(z0, z1) -> c3 A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U12(z0, z1) -> c5 A__U13(tt) -> c6 A__U13(z0) -> c7 A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U21(z0, z1) -> c9 A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U22(z0, z1) -> c11 A__U23(tt) -> c12 A__U23(z0) -> c13 A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U31(z0, z1) -> c15 A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U32(z0, z1) -> c17 A__U33(tt) -> c18 A__U33(z0) -> c19 A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U41(z0, z1, z2) -> c21 A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U42(z0, z1, z2) -> c23 A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(z0, z1, z2) -> c25 A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U44(z0, z1, z2) -> c27 A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U45(z0, z1) -> c29 A__U46(tt) -> c30 A__U46(z0) -> c31 A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U51(z0, z1) -> c33 A__U52(tt) -> c34 A__U52(z0) -> c35 A__U61(tt) -> c36 A__U61(z0) -> c37 A__U71(tt) -> c38 A__U71(z0) -> c39 A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U81(z0, z1, z2) -> c41 A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U82(z0, z1, z2) -> c43 A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(z0, z1, z2) -> c45 A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U84(z0, z1, z2) -> c47 A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U85(z0, z1) -> c49 A__U86(tt) -> c50 A__U86(z0) -> c51 A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U91(z0, z1, z2) -> c53 A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U92(z0, z1, z2) -> c55 A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U93(z0, z1, z2) -> c57 A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__U94(z0, z1) -> c59 A__ISNAT(0') -> c60 A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNAT(z0) -> c63 A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(zeros) -> c65 A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c67 A__ISNATILISTKIND(nil) -> c68 A__ISNATILISTKIND(zeros) -> c69 A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(z0) -> c71 A__ISNATKIND(0') -> c72 A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATKIND(z0) -> c75 A__ISNATLIST(nil) -> c76 A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATLIST(z0) -> c78 A__LENGTH(nil) -> c79 A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) A__LENGTH(z0) -> c81 MARK(zeros) -> c82(A__ZEROS) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(0') -> c119 MARK(tt) -> c120 MARK(s(z0)) -> c121(MARK(z0)) MARK(nil) -> c122 The (relative) TRS S consists of the following rules: a__zeros -> cons(0', zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0') -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0') -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0' a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0') -> 0' mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Rewrite Strategy: INNERMOST ---------------------------------------- (13) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Inferred types. ---------------------------------------- (14) Obligation: Innermost TRS: Rules: A__ZEROS -> c A__ZEROS -> c1 A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U11(z0, z1) -> c3 A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U12(z0, z1) -> c5 A__U13(tt) -> c6 A__U13(z0) -> c7 A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U21(z0, z1) -> c9 A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U22(z0, z1) -> c11 A__U23(tt) -> c12 A__U23(z0) -> c13 A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U31(z0, z1) -> c15 A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U32(z0, z1) -> c17 A__U33(tt) -> c18 A__U33(z0) -> c19 A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U41(z0, z1, z2) -> c21 A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U42(z0, z1, z2) -> c23 A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(z0, z1, z2) -> c25 A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U44(z0, z1, z2) -> c27 A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U45(z0, z1) -> c29 A__U46(tt) -> c30 A__U46(z0) -> c31 A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U51(z0, z1) -> c33 A__U52(tt) -> c34 A__U52(z0) -> c35 A__U61(tt) -> c36 A__U61(z0) -> c37 A__U71(tt) -> c38 A__U71(z0) -> c39 A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U81(z0, z1, z2) -> c41 A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U82(z0, z1, z2) -> c43 A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(z0, z1, z2) -> c45 A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U84(z0, z1, z2) -> c47 A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U85(z0, z1) -> c49 A__U86(tt) -> c50 A__U86(z0) -> c51 A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U91(z0, z1, z2) -> c53 A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U92(z0, z1, z2) -> c55 A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U93(z0, z1, z2) -> c57 A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__U94(z0, z1) -> c59 A__ISNAT(0') -> c60 A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNAT(z0) -> c63 A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(zeros) -> c65 A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c67 A__ISNATILISTKIND(nil) -> c68 A__ISNATILISTKIND(zeros) -> c69 A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(z0) -> c71 A__ISNATKIND(0') -> c72 A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATKIND(z0) -> c75 A__ISNATLIST(nil) -> c76 A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATLIST(z0) -> c78 A__LENGTH(nil) -> c79 A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) A__LENGTH(z0) -> c81 MARK(zeros) -> c82(A__ZEROS) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(0') -> c119 MARK(tt) -> c120 MARK(s(z0)) -> c121(MARK(z0)) MARK(nil) -> c122 a__zeros -> cons(0', zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0') -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0') -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0' a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0') -> 0' mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Types: A__ZEROS :: c:c1 c :: c:c1 c1 :: c:c1 A__U11 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c2:c3 tt :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c2 :: c4:c5 -> c68:c69:c70:c71 -> c2:c3 A__U12 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c4:c5 a__isNatIListKind :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 A__ISNATILISTKIND :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c68:c69:c70:c71 c3 :: c2:c3 c4 :: c6:c7 -> c76:c77:c78 -> c4:c5 A__U13 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c6:c7 a__isNatList :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 A__ISNATLIST :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c76:c77:c78 c5 :: c4:c5 c6 :: c6:c7 c7 :: c6:c7 A__U21 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c8:c9 c8 :: c10:c11 -> c72:c73:c74:c75 -> c8:c9 A__U22 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c10:c11 a__isNatKind :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 A__ISNATKIND :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c72:c73:c74:c75 c9 :: c8:c9 c10 :: c12:c13 -> c60:c61:c62:c63 -> c10:c11 A__U23 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c12:c13 a__isNat :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 A__ISNAT :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c60:c61:c62:c63 c11 :: c10:c11 c12 :: c12:c13 c13 :: c12:c13 A__U31 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c14:c15 c14 :: c16:c17 -> c68:c69:c70:c71 -> c14:c15 A__U32 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c16:c17 c15 :: c14:c15 c16 :: c18:c19 -> c76:c77:c78 -> c16:c17 A__U33 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c18:c19 c17 :: c16:c17 c18 :: c18:c19 c19 :: c18:c19 A__U41 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c20:c21 c20 :: c22:c23 -> c72:c73:c74:c75 -> c20:c21 A__U42 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c22:c23 c21 :: c20:c21 c22 :: c24:c25 -> c68:c69:c70:c71 -> c22:c23 A__U43 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c24:c25 c23 :: c22:c23 c24 :: c26:c27 -> c68:c69:c70:c71 -> c24:c25 A__U44 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c26:c27 c25 :: c24:c25 c26 :: c28:c29 -> c60:c61:c62:c63 -> c26:c27 A__U45 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c28:c29 c27 :: c26:c27 c28 :: c30:c31 -> c64:c65:c66:c67 -> c28:c29 A__U46 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c30:c31 a__isNatIList :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 A__ISNATILIST :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c64:c65:c66:c67 c29 :: c28:c29 c30 :: c30:c31 c31 :: c30:c31 A__U51 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c32:c33 c32 :: c34:c35 -> c68:c69:c70:c71 -> c32:c33 A__U52 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c34:c35 c33 :: c32:c33 c34 :: c34:c35 c35 :: c34:c35 A__U61 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c36:c37 c36 :: c36:c37 c37 :: c36:c37 A__U71 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c38:c39 c38 :: c38:c39 c39 :: c38:c39 A__U81 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c40:c41 c40 :: c42:c43 -> c72:c73:c74:c75 -> c40:c41 A__U82 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c42:c43 c41 :: c40:c41 c42 :: c44:c45 -> c68:c69:c70:c71 -> c42:c43 A__U83 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c44:c45 c43 :: c42:c43 c44 :: c46:c47 -> c68:c69:c70:c71 -> c44:c45 A__U84 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c46:c47 c45 :: c44:c45 c46 :: c48:c49 -> c60:c61:c62:c63 -> c46:c47 A__U85 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c48:c49 c47 :: c46:c47 c48 :: c50:c51 -> c76:c77:c78 -> c48:c49 A__U86 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c50:c51 c49 :: c48:c49 c50 :: c50:c51 c51 :: c50:c51 A__U91 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c52:c53 c52 :: c54:c55 -> c68:c69:c70:c71 -> c52:c53 A__U92 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c54:c55 c53 :: c52:c53 c54 :: c56:c57 -> c60:c61:c62:c63 -> c54:c55 A__U93 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c56:c57 c55 :: c54:c55 c56 :: c58:c59 -> c72:c73:c74:c75 -> c56:c57 A__U94 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c58:c59 c57 :: c56:c57 c58 :: c79:c80:c81 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c58:c59 A__LENGTH :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c79:c80:c81 mark :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 MARK :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c59 :: c58:c59 0' :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c60 :: c60:c61:c62:c63 length :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c61 :: c2:c3 -> c68:c69:c70:c71 -> c60:c61:c62:c63 s :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c62 :: c8:c9 -> c72:c73:c74:c75 -> c60:c61:c62:c63 c63 :: c60:c61:c62:c63 c64 :: c14:c15 -> c68:c69:c70:c71 -> c64:c65:c66:c67 zeros :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c65 :: c64:c65:c66:c67 cons :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c66 :: c20:c21 -> c72:c73:c74:c75 -> c64:c65:c66:c67 c67 :: c64:c65:c66:c67 nil :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c68 :: c68:c69:c70:c71 c69 :: c68:c69:c70:c71 c70 :: c32:c33 -> c72:c73:c74:c75 -> c68:c69:c70:c71 c71 :: c68:c69:c70:c71 c72 :: c72:c73:c74:c75 c73 :: c36:c37 -> c68:c69:c70:c71 -> c72:c73:c74:c75 c74 :: c38:c39 -> c72:c73:c74:c75 -> c72:c73:c74:c75 c75 :: c72:c73:c74:c75 c76 :: c76:c77:c78 c77 :: c40:c41 -> c72:c73:c74:c75 -> c76:c77:c78 c78 :: c76:c77:c78 c79 :: c79:c80:c81 c80 :: c52:c53 -> c76:c77:c78 -> c79:c80:c81 c81 :: c79:c80:c81 c82 :: c:c1 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U11 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c83 :: c2:c3 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U12 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c84 :: c4:c5 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 isNatIListKind :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c85 :: c68:c69:c70:c71 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U13 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c86 :: c6:c7 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 isNatList :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c87 :: c76:c77:c78 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U21 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c88 :: c8:c9 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U22 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c89 :: c10:c11 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 isNatKind :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c90 :: c72:c73:c74:c75 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U23 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c91 :: c12:c13 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 isNat :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c92 :: c60:c61:c62:c63 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U31 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c93 :: c14:c15 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U32 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c94 :: c16:c17 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U33 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c95 :: c18:c19 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U41 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c96 :: c20:c21 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U42 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c97 :: c22:c23 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U43 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c98 :: c24:c25 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U44 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c99 :: c26:c27 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U45 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c100 :: c28:c29 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U46 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c101 :: c30:c31 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 isNatIList :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c102 :: c64:c65:c66:c67 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U51 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c103 :: c32:c33 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U52 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c104 :: c34:c35 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U61 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c105 :: c36:c37 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U71 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c106 :: c38:c39 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U81 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c107 :: c40:c41 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U82 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c108 :: c42:c43 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U83 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c109 :: c44:c45 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U84 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c110 :: c46:c47 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U85 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c111 :: c48:c49 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U86 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c112 :: c50:c51 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U91 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c113 :: c52:c53 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U92 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c114 :: c54:c55 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U93 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c115 :: c56:c57 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U94 :: 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:: c79:c80:c81 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c118 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c119 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c120 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c121 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c122 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 a__zeros :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U11 :: 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tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U93 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U94 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__length :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 hole_c:c11_123 :: c:c1 hole_c2:c32_123 :: c2:c3 hole_tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U943_123 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 hole_c4:c54_123 :: c4:c5 hole_c68:c69:c70:c715_123 :: c68:c69:c70:c71 hole_c6:c76_123 :: c6:c7 hole_c76:c77:c787_123 :: c76:c77:c78 hole_c8:c98_123 :: c8:c9 hole_c10:c119_123 :: c10:c11 hole_c72:c73:c74:c7510_123 :: c72:c73:c74:c75 hole_c12:c1311_123 :: c12:c13 hole_c60:c61:c62:c6312_123 :: c60:c61:c62:c63 hole_c14:c1513_123 :: c14:c15 hole_c16:c1714_123 :: c16:c17 hole_c18:c1915_123 :: c18:c19 hole_c20:c2116_123 :: c20:c21 hole_c22:c2317_123 :: c22:c23 hole_c24:c2518_123 :: c24:c25 hole_c26:c2719_123 :: c26:c27 hole_c28:c2920_123 :: c28:c29 hole_c30:c3121_123 :: c30:c31 hole_c64:c65:c66:c6722_123 :: c64:c65:c66:c67 hole_c32:c3323_123 :: c32:c33 hole_c34:c3524_123 :: c34:c35 hole_c36:c3725_123 :: c36:c37 hole_c38:c3926_123 :: c38:c39 hole_c40:c4127_123 :: c40:c41 hole_c42:c4328_123 :: c42:c43 hole_c44:c4529_123 :: c44:c45 hole_c46:c4730_123 :: c46:c47 hole_c48:c4931_123 :: c48:c49 hole_c50:c5132_123 :: c50:c51 hole_c52:c5333_123 :: c52:c53 hole_c54:c5534_123 :: c54:c55 hole_c56:c5735_123 :: c56:c57 hole_c58:c5936_123 :: c58:c59 hole_c79:c80:c8137_123 :: c79:c80:c81 hole_c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c12238_123 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 gen_tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U9439_123 :: Nat -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 gen_c72:c73:c74:c7540_123 :: Nat -> c72:c73:c74:c75 gen_c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c12241_123 :: Nat -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 ---------------------------------------- (15) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: A__U11, A__U12, a__isNatIListKind, A__ISNATILISTKIND, a__isNatList, A__ISNATLIST, A__U21, A__U22, a__isNatKind, A__ISNATKIND, a__isNat, A__ISNAT, A__U41, A__U42, A__U43, A__U44, A__U45, a__isNatIList, A__ISNATILIST, A__U51, A__U81, A__U82, A__U83, A__U84, A__U85, A__U91, A__U92, A__U93, A__U94, A__LENGTH, mark, MARK, a__U11, a__U12, a__U21, a__U22, a__U41, a__U42, a__U43, a__U44, a__U45, a__U51, a__U81, a__U82, a__U83, a__U84, a__U85, a__U91, a__U92, a__U93, a__U94, a__length They will be analysed ascendingly in the following order: A__U11 = A__U12 a__isNatIListKind < A__U11 A__ISNATILISTKIND < A__U11 A__U11 = A__ISNATLIST A__U11 = A__U21 A__U11 = A__U22 A__U11 = A__ISNAT A__U11 = A__U81 A__U11 = A__U82 A__U11 = A__U83 A__U11 = A__U84 A__U11 = A__U85 A__U11 < MARK a__isNatList < A__U12 A__U12 = A__ISNATLIST A__U12 = A__U21 A__U12 = A__U22 A__U12 = A__ISNAT A__U12 = A__U81 A__U12 = A__U82 A__U12 = A__U83 A__U12 = A__U84 A__U12 = A__U85 A__U12 < MARK a__isNatIListKind = a__isNatKind a__isNatIListKind < A__ISNATKIND a__isNatIListKind < a__isNat a__isNatIListKind < A__ISNAT a__isNatIListKind < A__U42 a__isNatIListKind < A__U43 a__isNatIListKind < a__isNatIList a__isNatIListKind < A__ISNATILIST a__isNatIListKind < A__U51 a__isNatIListKind < A__U82 a__isNatIListKind < A__U83 a__isNatIListKind < A__U91 a__isNatIListKind < mark a__isNatIListKind < a__U11 a__isNatIListKind < a__U42 a__isNatIListKind < a__U43 a__isNatIListKind = a__U51 a__isNatIListKind < a__U82 a__isNatIListKind < a__U83 a__isNatIListKind < a__U91 a__isNatKind < A__ISNATILISTKIND A__ISNATILISTKIND = A__ISNATKIND A__ISNATILISTKIND < A__ISNAT A__ISNATILISTKIND < A__U42 A__ISNATILISTKIND < A__U43 A__ISNATILISTKIND < A__ISNATILIST A__ISNATILISTKIND = A__U51 A__ISNATILISTKIND < A__U82 A__ISNATILISTKIND < A__U83 A__ISNATILISTKIND < A__U91 A__ISNATILISTKIND < MARK a__isNatKind < a__isNatList a__isNatList = a__isNat a__isNatList < A__U85 a__isNatList < A__LENGTH a__isNatList < mark a__isNatList = a__U11 a__isNatList = a__U12 a__isNatList = a__U21 a__isNatList = a__U22 a__isNatList = a__U81 a__isNatList = a__U82 a__isNatList = a__U83 a__isNatList = a__U84 a__isNatList = a__U85 a__isNatList < a__length A__ISNATLIST = A__U21 A__ISNATLIST = A__U22 a__isNatKind < A__ISNATLIST A__ISNATKIND < A__ISNATLIST A__ISNATLIST = A__ISNAT A__ISNATLIST = A__U81 A__ISNATLIST = A__U82 A__ISNATLIST = A__U83 A__ISNATLIST = A__U84 A__ISNATLIST = A__U85 A__ISNATLIST < A__LENGTH A__ISNATLIST < MARK A__U21 = A__U22 a__isNatKind < A__U21 A__ISNATKIND < A__U21 A__U21 = A__ISNAT A__U21 = A__U81 A__U21 = A__U82 A__U21 = A__U83 A__U21 = A__U84 A__U21 = A__U85 A__U21 < MARK a__isNat < A__U22 A__U22 = A__ISNAT A__U22 = A__U81 A__U22 = A__U82 A__U22 = A__U83 A__U22 = A__U84 A__U22 = A__U85 A__U22 < MARK a__isNatKind < A__ISNATKIND a__isNatKind < a__isNat a__isNatKind < A__ISNAT a__isNatKind < A__U41 a__isNatKind < a__isNatIList a__isNatKind < A__ISNATILIST a__isNatKind < A__U81 a__isNatKind < A__U93 a__isNatKind < mark a__isNatKind < a__U21 a__isNatKind < a__U41 a__isNatKind = a__U51 a__isNatKind < a__U81 a__isNatKind < a__U93 A__ISNATKIND < A__ISNAT A__ISNATKIND < A__U41 A__ISNATKIND < A__ISNATILIST A__ISNATKIND = A__U51 A__ISNATKIND < A__U81 A__ISNATKIND < A__U93 A__ISNATKIND < MARK a__isNat < A__U44 a__isNat < A__U84 a__isNat < A__U92 a__isNat < mark a__isNat = a__U11 a__isNat = a__U12 a__isNat = a__U21 a__isNat = a__U22 a__isNat < a__U44 a__isNat = a__U81 a__isNat = a__U82 a__isNat = a__U83 a__isNat = a__U84 a__isNat = a__U85 a__isNat < a__U92 A__ISNAT < A__U44 A__ISNAT = A__U81 A__ISNAT = A__U82 A__ISNAT = A__U83 A__ISNAT = A__U84 A__ISNAT = A__U85 A__ISNAT < A__U92 A__ISNAT < MARK A__U41 = A__U42 A__U41 = A__U43 A__U41 = A__U44 A__U41 = A__U45 A__U41 = A__ISNATILIST A__U41 < MARK A__U42 = A__U43 A__U42 = A__U44 A__U42 = A__U45 A__U42 = A__ISNATILIST A__U42 < MARK A__U43 = A__U44 A__U43 = A__U45 A__U43 = A__ISNATILIST A__U43 < MARK A__U44 = A__U45 A__U44 = A__ISNATILIST A__U44 < MARK a__isNatIList < A__U45 A__U45 = A__ISNATILIST A__U45 < MARK a__isNatIList < mark a__isNatIList = a__U41 a__isNatIList = a__U42 a__isNatIList = a__U43 a__isNatIList = a__U44 a__isNatIList = a__U45 A__ISNATILIST < MARK A__U51 < MARK A__U81 = A__U82 A__U81 = A__U83 A__U81 = A__U84 A__U81 = A__U85 A__U81 < MARK A__U82 = A__U83 A__U82 = A__U84 A__U82 = A__U85 A__U82 < MARK A__U83 = A__U84 A__U83 = A__U85 A__U83 < MARK A__U84 = A__U85 A__U84 < MARK A__U85 < MARK A__U91 = A__U92 A__U91 = A__U93 A__U91 = A__U94 A__U91 = A__LENGTH A__U91 = MARK A__U92 = A__U93 A__U92 = A__U94 A__U92 = A__LENGTH A__U92 = MARK A__U93 = A__U94 A__U93 = A__LENGTH A__U93 = MARK A__U94 = A__LENGTH mark < A__U94 A__U94 = MARK A__LENGTH = MARK mark < MARK a__U11 < mark a__U12 < mark a__U21 < mark a__U22 < mark a__U41 < mark a__U42 < mark a__U43 < mark a__U44 < mark a__U45 < mark a__U51 < mark a__U81 < mark a__U82 < mark a__U83 < mark a__U84 < mark a__U85 < mark mark = a__U91 mark = a__U92 mark = a__U93 mark = a__U94 mark = a__length a__U11 = a__U12 a__U11 = a__U21 a__U11 = a__U22 a__U11 = a__U81 a__U11 = a__U82 a__U11 = a__U83 a__U11 = a__U84 a__U11 = a__U85 a__U12 = a__U21 a__U12 = a__U22 a__U12 = a__U81 a__U12 = a__U82 a__U12 = a__U83 a__U12 = a__U84 a__U12 = a__U85 a__U21 = a__U22 a__U21 = a__U81 a__U21 = a__U82 a__U21 = a__U83 a__U21 = a__U84 a__U21 = a__U85 a__U22 = a__U81 a__U22 = a__U82 a__U22 = a__U83 a__U22 = a__U84 a__U22 = a__U85 a__U41 = a__U42 a__U41 = a__U43 a__U41 = a__U44 a__U41 = a__U45 a__U42 = a__U43 a__U42 = a__U44 a__U42 = a__U45 a__U43 = a__U44 a__U43 = a__U45 a__U44 = a__U45 a__U81 = a__U82 a__U81 = a__U83 a__U81 = a__U84 a__U81 = a__U85 a__U82 = a__U83 a__U82 = a__U84 a__U82 = a__U85 a__U83 = a__U84 a__U83 = a__U85 a__U84 = a__U85 a__U91 = a__U92 a__U91 = a__U93 a__U91 = a__U94 a__U91 = a__length a__U92 = a__U93 a__U92 = a__U94 a__U92 = a__length a__U93 = a__U94 a__U93 = a__length a__U94 = a__length ---------------------------------------- (16) Obligation: Innermost TRS: Rules: A__ZEROS -> c A__ZEROS -> c1 A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U11(z0, z1) -> c3 A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U12(z0, z1) -> c5 A__U13(tt) -> c6 A__U13(z0) -> c7 A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U21(z0, z1) -> c9 A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U22(z0, z1) -> c11 A__U23(tt) -> c12 A__U23(z0) -> c13 A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U31(z0, z1) -> c15 A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U32(z0, z1) -> c17 A__U33(tt) -> c18 A__U33(z0) -> c19 A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U41(z0, z1, z2) -> c21 A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U42(z0, z1, z2) -> c23 A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(z0, z1, z2) -> c25 A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U44(z0, z1, z2) -> c27 A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U45(z0, z1) -> c29 A__U46(tt) -> c30 A__U46(z0) -> c31 A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U51(z0, z1) -> c33 A__U52(tt) -> c34 A__U52(z0) -> c35 A__U61(tt) -> c36 A__U61(z0) -> c37 A__U71(tt) -> c38 A__U71(z0) -> c39 A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U81(z0, z1, z2) -> c41 A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U82(z0, z1, z2) -> c43 A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(z0, z1, z2) -> c45 A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U84(z0, z1, z2) -> c47 A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U85(z0, z1) -> c49 A__U86(tt) -> c50 A__U86(z0) -> c51 A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U91(z0, z1, z2) -> c53 A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U92(z0, z1, z2) -> c55 A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U93(z0, z1, z2) -> c57 A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__U94(z0, z1) -> c59 A__ISNAT(0') -> c60 A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNAT(z0) -> c63 A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(zeros) -> c65 A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c67 A__ISNATILISTKIND(nil) -> c68 A__ISNATILISTKIND(zeros) -> c69 A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(z0) -> c71 A__ISNATKIND(0') -> c72 A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATKIND(z0) -> c75 A__ISNATLIST(nil) -> c76 A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATLIST(z0) -> c78 A__LENGTH(nil) -> c79 A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) A__LENGTH(z0) -> c81 MARK(zeros) -> c82(A__ZEROS) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(0') -> c119 MARK(tt) -> c120 MARK(s(z0)) -> c121(MARK(z0)) MARK(nil) -> c122 a__zeros -> cons(0', zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0') -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0') -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0' a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0') -> 0' mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Types: A__ZEROS :: c:c1 c :: c:c1 c1 :: c:c1 A__U11 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c2:c3 tt :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c2 :: c4:c5 -> c68:c69:c70:c71 -> c2:c3 A__U12 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c4:c5 a__isNatIListKind :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 A__ISNATILISTKIND :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c68:c69:c70:c71 c3 :: c2:c3 c4 :: c6:c7 -> c76:c77:c78 -> c4:c5 A__U13 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c6:c7 a__isNatList :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 A__ISNATLIST :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c76:c77:c78 c5 :: c4:c5 c6 :: c6:c7 c7 :: c6:c7 A__U21 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c8:c9 c8 :: c10:c11 -> c72:c73:c74:c75 -> c8:c9 A__U22 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c10:c11 a__isNatKind :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 A__ISNATKIND :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c72:c73:c74:c75 c9 :: c8:c9 c10 :: c12:c13 -> c60:c61:c62:c63 -> c10:c11 A__U23 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c12:c13 a__isNat :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 A__ISNAT :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c60:c61:c62:c63 c11 :: c10:c11 c12 :: c12:c13 c13 :: c12:c13 A__U31 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c14:c15 c14 :: c16:c17 -> c68:c69:c70:c71 -> c14:c15 A__U32 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c16:c17 c15 :: c14:c15 c16 :: c18:c19 -> c76:c77:c78 -> c16:c17 A__U33 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c18:c19 c17 :: c16:c17 c18 :: c18:c19 c19 :: c18:c19 A__U41 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c20:c21 c20 :: c22:c23 -> c72:c73:c74:c75 -> c20:c21 A__U42 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c22:c23 c21 :: c20:c21 c22 :: c24:c25 -> c68:c69:c70:c71 -> c22:c23 A__U43 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c24:c25 c23 :: c22:c23 c24 :: c26:c27 -> c68:c69:c70:c71 -> c24:c25 A__U44 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c26:c27 c25 :: c24:c25 c26 :: c28:c29 -> c60:c61:c62:c63 -> c26:c27 A__U45 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c28:c29 c27 :: c26:c27 c28 :: c30:c31 -> c64:c65:c66:c67 -> c28:c29 A__U46 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c30:c31 a__isNatIList :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 A__ISNATILIST :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c64:c65:c66:c67 c29 :: c28:c29 c30 :: c30:c31 c31 :: c30:c31 A__U51 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c32:c33 c32 :: c34:c35 -> c68:c69:c70:c71 -> c32:c33 A__U52 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c34:c35 c33 :: c32:c33 c34 :: c34:c35 c35 :: c34:c35 A__U61 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c36:c37 c36 :: c36:c37 c37 :: c36:c37 A__U71 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c38:c39 c38 :: c38:c39 c39 :: c38:c39 A__U81 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c40:c41 c40 :: c42:c43 -> c72:c73:c74:c75 -> c40:c41 A__U82 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c42:c43 c41 :: c40:c41 c42 :: c44:c45 -> c68:c69:c70:c71 -> c42:c43 A__U83 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c44:c45 c43 :: c42:c43 c44 :: c46:c47 -> c68:c69:c70:c71 -> c44:c45 A__U84 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c46:c47 c45 :: c44:c45 c46 :: c48:c49 -> c60:c61:c62:c63 -> c46:c47 A__U85 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c48:c49 c47 :: c46:c47 c48 :: c50:c51 -> c76:c77:c78 -> c48:c49 A__U86 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c50:c51 c49 :: c48:c49 c50 :: c50:c51 c51 :: c50:c51 A__U91 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c52:c53 c52 :: c54:c55 -> c68:c69:c70:c71 -> c52:c53 A__U92 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c54:c55 c53 :: c52:c53 c54 :: c56:c57 -> c60:c61:c62:c63 -> c54:c55 A__U93 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c56:c57 c55 :: c54:c55 c56 :: c58:c59 -> c72:c73:c74:c75 -> c56:c57 A__U94 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c58:c59 c57 :: c56:c57 c58 :: c79:c80:c81 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c58:c59 A__LENGTH :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c79:c80:c81 mark :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 MARK :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c59 :: c58:c59 0' :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c60 :: c60:c61:c62:c63 length :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c61 :: c2:c3 -> c68:c69:c70:c71 -> c60:c61:c62:c63 s :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c62 :: c8:c9 -> c72:c73:c74:c75 -> c60:c61:c62:c63 c63 :: c60:c61:c62:c63 c64 :: c14:c15 -> c68:c69:c70:c71 -> c64:c65:c66:c67 zeros :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c65 :: c64:c65:c66:c67 cons :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c66 :: c20:c21 -> c72:c73:c74:c75 -> c64:c65:c66:c67 c67 :: c64:c65:c66:c67 nil :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c68 :: c68:c69:c70:c71 c69 :: c68:c69:c70:c71 c70 :: c32:c33 -> c72:c73:c74:c75 -> c68:c69:c70:c71 c71 :: c68:c69:c70:c71 c72 :: c72:c73:c74:c75 c73 :: c36:c37 -> c68:c69:c70:c71 -> c72:c73:c74:c75 c74 :: c38:c39 -> c72:c73:c74:c75 -> c72:c73:c74:c75 c75 :: c72:c73:c74:c75 c76 :: c76:c77:c78 c77 :: c40:c41 -> c72:c73:c74:c75 -> c76:c77:c78 c78 :: c76:c77:c78 c79 :: c79:c80:c81 c80 :: c52:c53 -> c76:c77:c78 -> c79:c80:c81 c81 :: c79:c80:c81 c82 :: c:c1 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U11 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c83 :: c2:c3 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U12 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c84 :: c4:c5 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 isNatIListKind :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c85 :: c68:c69:c70:c71 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U13 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c86 :: c6:c7 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 isNatList :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c87 :: c76:c77:c78 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U21 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c88 :: c8:c9 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U22 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c89 :: c10:c11 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 isNatKind :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c90 :: c72:c73:c74:c75 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U23 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c91 :: c12:c13 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 isNat :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c92 :: c60:c61:c62:c63 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U31 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c93 :: c14:c15 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U32 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c94 :: c16:c17 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U33 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c95 :: c18:c19 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U41 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c96 :: c20:c21 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U42 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c97 :: c22:c23 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U43 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c98 :: c24:c25 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U44 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c99 :: c26:c27 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U45 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c100 :: c28:c29 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U46 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c101 :: c30:c31 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 isNatIList :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c102 :: c64:c65:c66:c67 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U51 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c103 :: c32:c33 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U52 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c104 :: c34:c35 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U61 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c105 :: c36:c37 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U71 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c106 :: c38:c39 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U81 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c107 :: c40:c41 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U82 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c108 :: c42:c43 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U83 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c109 :: c44:c45 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U84 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c110 :: c46:c47 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U85 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c111 :: c48:c49 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U86 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c112 :: c50:c51 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U91 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c113 :: c52:c53 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U92 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c114 :: c54:c55 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U93 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c115 :: c56:c57 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 U94 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 c116 :: c58:c59 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c117 :: c79:c80:c81 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c118 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c119 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c120 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c121 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 c122 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 a__zeros :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U11 :: 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tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U84 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U85 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U86 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U91 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U92 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U93 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U94 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__length :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 hole_c:c11_123 :: c:c1 hole_c2:c32_123 :: c2:c3 hole_tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U943_123 :: tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 hole_c4:c54_123 :: c4:c5 hole_c68:c69:c70:c715_123 :: c68:c69:c70:c71 hole_c6:c76_123 :: c6:c7 hole_c76:c77:c787_123 :: c76:c77:c78 hole_c8:c98_123 :: c8:c9 hole_c10:c119_123 :: c10:c11 hole_c72:c73:c74:c7510_123 :: c72:c73:c74:c75 hole_c12:c1311_123 :: c12:c13 hole_c60:c61:c62:c6312_123 :: c60:c61:c62:c63 hole_c14:c1513_123 :: c14:c15 hole_c16:c1714_123 :: c16:c17 hole_c18:c1915_123 :: c18:c19 hole_c20:c2116_123 :: c20:c21 hole_c22:c2317_123 :: c22:c23 hole_c24:c2518_123 :: c24:c25 hole_c26:c2719_123 :: c26:c27 hole_c28:c2920_123 :: c28:c29 hole_c30:c3121_123 :: c30:c31 hole_c64:c65:c66:c6722_123 :: c64:c65:c66:c67 hole_c32:c3323_123 :: c32:c33 hole_c34:c3524_123 :: c34:c35 hole_c36:c3725_123 :: c36:c37 hole_c38:c3926_123 :: c38:c39 hole_c40:c4127_123 :: c40:c41 hole_c42:c4328_123 :: c42:c43 hole_c44:c4529_123 :: c44:c45 hole_c46:c4730_123 :: c46:c47 hole_c48:c4931_123 :: c48:c49 hole_c50:c5132_123 :: c50:c51 hole_c52:c5333_123 :: c52:c53 hole_c54:c5534_123 :: c54:c55 hole_c56:c5735_123 :: c56:c57 hole_c58:c5936_123 :: c58:c59 hole_c79:c80:c8137_123 :: c79:c80:c81 hole_c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c12238_123 :: c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 gen_tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U9439_123 :: Nat -> tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 gen_c72:c73:c74:c7540_123 :: Nat -> c72:c73:c74:c75 gen_c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c12241_123 :: Nat -> c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c122 Generator Equations: gen_tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U9439_123(0) <=> tt gen_tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U9439_123(+(x, 1)) <=> length(gen_tt:0':length:s:zeros:cons:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U9439_123(x)) gen_c72:c73:c74:c7540_123(0) <=> c72 gen_c72:c73:c74:c7540_123(+(x, 1)) <=> c74(c38, gen_c72:c73:c74:c7540_123(x)) gen_c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c12241_123(0) <=> c82(c) gen_c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c12241_123(+(x, 1)) <=> c83(c2(c4(c6, c76), c68), gen_c82:c83:c84:c85:c86:c87:c88:c89:c90:c91:c92:c93:c94:c95:c96:c97:c98:c99:c100:c101:c102:c103:c104:c105:c106:c107:c108:c109:c110:c111:c112:c113:c114:c115:c116:c117:c118:c119:c120:c121:c12241_123(x)) The following defined symbols remain to be analysed: a__U51, A__U11, A__U12, a__isNatIListKind, A__ISNATILISTKIND, a__isNatList, A__ISNATLIST, A__U21, A__U22, a__isNatKind, A__ISNATKIND, a__isNat, A__ISNAT, A__U41, A__U42, A__U43, A__U44, A__U45, a__isNatIList, A__ISNATILIST, A__U51, A__U81, A__U82, A__U83, A__U84, A__U85, A__U91, A__U92, A__U93, A__U94, A__LENGTH, mark, MARK, a__U11, a__U12, a__U21, a__U22, a__U41, a__U42, a__U43, a__U44, a__U45, a__U81, a__U82, a__U83, a__U84, a__U85, a__U91, a__U92, a__U93, a__U94, a__length They will be analysed ascendingly in the following order: A__U11 = A__U12 a__isNatIListKind < A__U11 A__ISNATILISTKIND < A__U11 A__U11 = A__ISNATLIST A__U11 = A__U21 A__U11 = A__U22 A__U11 = A__ISNAT A__U11 = A__U81 A__U11 = A__U82 A__U11 = A__U83 A__U11 = A__U84 A__U11 = A__U85 A__U11 < MARK a__isNatList < A__U12 A__U12 = A__ISNATLIST A__U12 = A__U21 A__U12 = A__U22 A__U12 = A__ISNAT A__U12 = A__U81 A__U12 = A__U82 A__U12 = A__U83 A__U12 = A__U84 A__U12 = A__U85 A__U12 < MARK a__isNatIListKind = a__isNatKind a__isNatIListKind < A__ISNATKIND a__isNatIListKind < a__isNat a__isNatIListKind < A__ISNAT a__isNatIListKind < A__U42 a__isNatIListKind < A__U43 a__isNatIListKind < a__isNatIList a__isNatIListKind < A__ISNATILIST a__isNatIListKind < A__U51 a__isNatIListKind < A__U82 a__isNatIListKind < A__U83 a__isNatIListKind < A__U91 a__isNatIListKind < mark a__isNatIListKind < a__U11 a__isNatIListKind < a__U42 a__isNatIListKind < a__U43 a__isNatIListKind = a__U51 a__isNatIListKind < a__U82 a__isNatIListKind < a__U83 a__isNatIListKind < a__U91 a__isNatKind < A__ISNATILISTKIND A__ISNATILISTKIND = A__ISNATKIND A__ISNATILISTKIND < A__ISNAT A__ISNATILISTKIND < A__U42 A__ISNATILISTKIND < A__U43 A__ISNATILISTKIND < A__ISNATILIST A__ISNATILISTKIND = A__U51 A__ISNATILISTKIND < A__U82 A__ISNATILISTKIND < A__U83 A__ISNATILISTKIND < A__U91 A__ISNATILISTKIND < MARK a__isNatKind < a__isNatList a__isNatList = a__isNat a__isNatList < A__U85 a__isNatList < A__LENGTH a__isNatList < mark a__isNatList = a__U11 a__isNatList = a__U12 a__isNatList = a__U21 a__isNatList = a__U22 a__isNatList = a__U81 a__isNatList = a__U82 a__isNatList = a__U83 a__isNatList = a__U84 a__isNatList = a__U85 a__isNatList < a__length A__ISNATLIST = A__U21 A__ISNATLIST = A__U22 a__isNatKind < A__ISNATLIST A__ISNATKIND < A__ISNATLIST A__ISNATLIST = A__ISNAT A__ISNATLIST = A__U81 A__ISNATLIST = A__U82 A__ISNATLIST = A__U83 A__ISNATLIST = A__U84 A__ISNATLIST = A__U85 A__ISNATLIST < A__LENGTH A__ISNATLIST < MARK A__U21 = A__U22 a__isNatKind < A__U21 A__ISNATKIND < A__U21 A__U21 = A__ISNAT A__U21 = A__U81 A__U21 = A__U82 A__U21 = A__U83 A__U21 = A__U84 A__U21 = A__U85 A__U21 < MARK a__isNat < A__U22 A__U22 = A__ISNAT A__U22 = A__U81 A__U22 = A__U82 A__U22 = A__U83 A__U22 = A__U84 A__U22 = A__U85 A__U22 < MARK a__isNatKind < A__ISNATKIND a__isNatKind < a__isNat a__isNatKind < A__ISNAT a__isNatKind < A__U41 a__isNatKind < a__isNatIList a__isNatKind < A__ISNATILIST a__isNatKind < A__U81 a__isNatKind < A__U93 a__isNatKind < mark a__isNatKind < a__U21 a__isNatKind < a__U41 a__isNatKind = a__U51 a__isNatKind < a__U81 a__isNatKind < a__U93 A__ISNATKIND < A__ISNAT A__ISNATKIND < A__U41 A__ISNATKIND < A__ISNATILIST A__ISNATKIND = A__U51 A__ISNATKIND < A__U81 A__ISNATKIND < A__U93 A__ISNATKIND < MARK a__isNat < A__U44 a__isNat < A__U84 a__isNat < A__U92 a__isNat < mark a__isNat = a__U11 a__isNat = a__U12 a__isNat = a__U21 a__isNat = a__U22 a__isNat < a__U44 a__isNat = a__U81 a__isNat = a__U82 a__isNat = a__U83 a__isNat = a__U84 a__isNat = a__U85 a__isNat < a__U92 A__ISNAT < A__U44 A__ISNAT = A__U81 A__ISNAT = A__U82 A__ISNAT = A__U83 A__ISNAT = A__U84 A__ISNAT = A__U85 A__ISNAT < A__U92 A__ISNAT < MARK A__U41 = A__U42 A__U41 = A__U43 A__U41 = A__U44 A__U41 = A__U45 A__U41 = A__ISNATILIST A__U41 < MARK A__U42 = A__U43 A__U42 = A__U44 A__U42 = A__U45 A__U42 = A__ISNATILIST A__U42 < MARK A__U43 = A__U44 A__U43 = A__U45 A__U43 = A__ISNATILIST A__U43 < MARK A__U44 = A__U45 A__U44 = A__ISNATILIST A__U44 < MARK a__isNatIList < A__U45 A__U45 = A__ISNATILIST A__U45 < MARK a__isNatIList < mark a__isNatIList = a__U41 a__isNatIList = a__U42 a__isNatIList = a__U43 a__isNatIList = a__U44 a__isNatIList = a__U45 A__ISNATILIST < MARK A__U51 < MARK A__U81 = A__U82 A__U81 = A__U83 A__U81 = A__U84 A__U81 = A__U85 A__U81 < MARK A__U82 = A__U83 A__U82 = A__U84 A__U82 = A__U85 A__U82 < MARK A__U83 = A__U84 A__U83 = A__U85 A__U83 < MARK A__U84 = A__U85 A__U84 < MARK A__U85 < MARK A__U91 = A__U92 A__U91 = A__U93 A__U91 = A__U94 A__U91 = A__LENGTH A__U91 = MARK A__U92 = A__U93 A__U92 = A__U94 A__U92 = A__LENGTH A__U92 = MARK A__U93 = A__U94 A__U93 = A__LENGTH A__U93 = MARK A__U94 = A__LENGTH mark < A__U94 A__U94 = MARK A__LENGTH = MARK mark < MARK a__U11 < mark a__U12 < mark a__U21 < mark a__U22 < mark a__U41 < mark a__U42 < mark a__U43 < mark a__U44 < mark a__U45 < mark a__U51 < mark a__U81 < mark a__U82 < mark a__U83 < mark a__U84 < mark a__U85 < mark mark = a__U91 mark = a__U92 mark = a__U93 mark = a__U94 mark = a__length a__U11 = a__U12 a__U11 = a__U21 a__U11 = a__U22 a__U11 = a__U81 a__U11 = a__U82 a__U11 = a__U83 a__U11 = a__U84 a__U11 = a__U85 a__U12 = a__U21 a__U12 = a__U22 a__U12 = a__U81 a__U12 = a__U82 a__U12 = a__U83 a__U12 = a__U84 a__U12 = a__U85 a__U21 = a__U22 a__U21 = a__U81 a__U21 = a__U82 a__U21 = a__U83 a__U21 = a__U84 a__U21 = a__U85 a__U22 = a__U81 a__U22 = a__U82 a__U22 = a__U83 a__U22 = a__U84 a__U22 = a__U85 a__U41 = a__U42 a__U41 = a__U43 a__U41 = a__U44 a__U41 = a__U45 a__U42 = a__U43 a__U42 = a__U44 a__U42 = a__U45 a__U43 = a__U44 a__U43 = a__U45 a__U44 = a__U45 a__U81 = a__U82 a__U81 = a__U83 a__U81 = a__U84 a__U81 = a__U85 a__U82 = a__U83 a__U82 = a__U84 a__U82 = a__U85 a__U83 = a__U84 a__U83 = a__U85 a__U84 = a__U85 a__U91 = a__U92 a__U91 = a__U93 a__U91 = a__U94 a__U91 = a__length a__U92 = a__U93 a__U92 = a__U94 a__U92 = a__length a__U93 = a__U94 a__U93 = a__length a__U94 = a__length ---------------------------------------- (17) RelTrsToWeightedTrsProof (UPPER BOUND(ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (18) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__zeros -> cons(0, zeros) [1] a__U11(tt, V1) -> a__U12(a__isNatIListKind(V1), V1) [1] a__U12(tt, V1) -> a__U13(a__isNatList(V1)) [1] a__U13(tt) -> tt [1] a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) [1] a__U22(tt, V1) -> a__U23(a__isNat(V1)) [1] a__U23(tt) -> tt [1] a__U31(tt, V) -> a__U32(a__isNatIListKind(V), V) [1] a__U32(tt, V) -> a__U33(a__isNatList(V)) [1] a__U33(tt) -> tt [1] a__U41(tt, V1, V2) -> a__U42(a__isNatKind(V1), V1, V2) [1] a__U42(tt, V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2) [1] a__U43(tt, V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2) [1] a__U44(tt, V1, V2) -> a__U45(a__isNat(V1), V2) [1] a__U45(tt, V2) -> a__U46(a__isNatIList(V2)) [1] a__U46(tt) -> tt [1] a__U51(tt, V2) -> a__U52(a__isNatIListKind(V2)) [1] a__U52(tt) -> tt [1] a__U61(tt) -> tt [1] a__U71(tt) -> tt [1] a__U81(tt, V1, V2) -> a__U82(a__isNatKind(V1), V1, V2) [1] a__U82(tt, V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2) [1] a__U83(tt, V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2) [1] a__U84(tt, V1, V2) -> a__U85(a__isNat(V1), V2) [1] a__U85(tt, V2) -> a__U86(a__isNatList(V2)) [1] a__U86(tt) -> tt [1] a__U91(tt, L, N) -> a__U92(a__isNatIListKind(L), L, N) [1] a__U92(tt, L, N) -> a__U93(a__isNat(N), L, N) [1] a__U93(tt, L, N) -> a__U94(a__isNatKind(N), L) [1] a__U94(tt, L) -> s(a__length(mark(L))) [1] a__isNat(0) -> tt [1] a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) [1] a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) [1] a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) [1] a__isNatIList(zeros) -> tt [1] a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2) [1] a__isNatIListKind(nil) -> tt [1] a__isNatIListKind(zeros) -> tt [1] a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2) [1] a__isNatKind(0) -> tt [1] a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1)) [1] a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1)) [1] a__isNatList(nil) -> tt [1] a__isNatList(cons(V1, V2)) -> a__U81(a__isNatKind(V1), V1, V2) [1] a__length(nil) -> 0 [1] a__length(cons(N, L)) -> a__U91(a__isNatList(L), L, N) [1] mark(zeros) -> a__zeros [1] mark(U11(X1, X2)) -> a__U11(mark(X1), X2) [1] mark(U12(X1, X2)) -> a__U12(mark(X1), X2) [1] mark(isNatIListKind(X)) -> a__isNatIListKind(X) [1] mark(U13(X)) -> a__U13(mark(X)) [1] mark(isNatList(X)) -> a__isNatList(X) [1] mark(U21(X1, X2)) -> a__U21(mark(X1), X2) [1] mark(U22(X1, X2)) -> a__U22(mark(X1), X2) [1] mark(isNatKind(X)) -> a__isNatKind(X) [1] mark(U23(X)) -> a__U23(mark(X)) [1] mark(isNat(X)) -> a__isNat(X) [1] mark(U31(X1, X2)) -> a__U31(mark(X1), X2) [1] mark(U32(X1, X2)) -> a__U32(mark(X1), X2) [1] mark(U33(X)) -> a__U33(mark(X)) [1] mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) [1] mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3) [1] mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3) [1] mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3) [1] mark(U45(X1, X2)) -> a__U45(mark(X1), X2) [1] mark(U46(X)) -> a__U46(mark(X)) [1] mark(isNatIList(X)) -> a__isNatIList(X) [1] mark(U51(X1, X2)) -> a__U51(mark(X1), X2) [1] mark(U52(X)) -> a__U52(mark(X)) [1] mark(U61(X)) -> a__U61(mark(X)) [1] mark(U71(X)) -> a__U71(mark(X)) [1] mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3) [1] mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3) [1] mark(U83(X1, X2, X3)) -> a__U83(mark(X1), X2, X3) [1] mark(U84(X1, X2, X3)) -> a__U84(mark(X1), X2, X3) [1] mark(U85(X1, X2)) -> a__U85(mark(X1), X2) [1] mark(U86(X)) -> a__U86(mark(X)) [1] mark(U91(X1, X2, X3)) -> a__U91(mark(X1), X2, X3) [1] mark(U92(X1, X2, X3)) -> a__U92(mark(X1), X2, X3) [1] mark(U93(X1, X2, X3)) -> a__U93(mark(X1), X2, X3) [1] mark(U94(X1, X2)) -> a__U94(mark(X1), X2) [1] mark(length(X)) -> a__length(mark(X)) [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(0) -> 0 [1] mark(tt) -> tt [1] mark(s(X)) -> s(mark(X)) [1] mark(nil) -> nil [1] a__zeros -> zeros [1] a__U11(X1, X2) -> U11(X1, X2) [1] a__U12(X1, X2) -> U12(X1, X2) [1] a__isNatIListKind(X) -> isNatIListKind(X) [1] a__U13(X) -> U13(X) [1] a__isNatList(X) -> isNatList(X) [1] a__U21(X1, X2) -> U21(X1, X2) [1] a__U22(X1, X2) -> U22(X1, X2) [1] a__isNatKind(X) -> isNatKind(X) [1] a__U23(X) -> U23(X) [1] a__isNat(X) -> isNat(X) [1] a__U31(X1, X2) -> U31(X1, X2) [1] a__U32(X1, X2) -> U32(X1, X2) [1] a__U33(X) -> U33(X) [1] a__U41(X1, X2, X3) -> U41(X1, X2, X3) [1] a__U42(X1, X2, X3) -> U42(X1, X2, X3) [1] a__U43(X1, X2, X3) -> U43(X1, X2, X3) [1] a__U44(X1, X2, X3) -> U44(X1, X2, X3) [1] a__U45(X1, X2) -> U45(X1, X2) [1] a__U46(X) -> U46(X) [1] a__isNatIList(X) -> isNatIList(X) [1] a__U51(X1, X2) -> U51(X1, X2) [1] a__U52(X) -> U52(X) [1] a__U61(X) -> U61(X) [1] a__U71(X) -> U71(X) [1] a__U81(X1, X2, X3) -> U81(X1, X2, X3) [1] a__U82(X1, X2, X3) -> U82(X1, X2, X3) [1] a__U83(X1, X2, X3) -> U83(X1, X2, X3) [1] a__U84(X1, X2, X3) -> U84(X1, X2, X3) [1] a__U85(X1, X2) -> U85(X1, X2) [1] a__U86(X) -> U86(X) [1] a__U91(X1, X2, X3) -> U91(X1, X2, X3) [1] a__U92(X1, X2, X3) -> U92(X1, X2, X3) [1] a__U93(X1, X2, X3) -> U93(X1, X2, X3) [1] a__U94(X1, X2) -> U94(X1, X2) [1] a__length(X) -> length(X) [1] Rewrite Strategy: INNERMOST ---------------------------------------- (19) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (20) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__zeros -> cons(0, zeros) [1] a__U11(tt, V1) -> a__U12(a__isNatIListKind(V1), V1) [1] a__U12(tt, V1) -> a__U13(a__isNatList(V1)) [1] a__U13(tt) -> tt [1] a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) [1] a__U22(tt, V1) -> a__U23(a__isNat(V1)) [1] a__U23(tt) -> tt [1] a__U31(tt, V) -> a__U32(a__isNatIListKind(V), V) [1] a__U32(tt, V) -> a__U33(a__isNatList(V)) [1] a__U33(tt) -> tt [1] a__U41(tt, V1, V2) -> a__U42(a__isNatKind(V1), V1, V2) [1] a__U42(tt, V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2) [1] a__U43(tt, V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2) [1] a__U44(tt, V1, V2) -> a__U45(a__isNat(V1), V2) [1] a__U45(tt, V2) -> a__U46(a__isNatIList(V2)) [1] a__U46(tt) -> tt [1] a__U51(tt, V2) -> a__U52(a__isNatIListKind(V2)) [1] a__U52(tt) -> tt [1] a__U61(tt) -> tt [1] a__U71(tt) -> tt [1] a__U81(tt, V1, V2) -> a__U82(a__isNatKind(V1), V1, V2) [1] a__U82(tt, V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2) [1] a__U83(tt, V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2) [1] a__U84(tt, V1, V2) -> a__U85(a__isNat(V1), V2) [1] a__U85(tt, V2) -> a__U86(a__isNatList(V2)) [1] a__U86(tt) -> tt [1] a__U91(tt, L, N) -> a__U92(a__isNatIListKind(L), L, N) [1] a__U92(tt, L, N) -> a__U93(a__isNat(N), L, N) [1] a__U93(tt, L, N) -> a__U94(a__isNatKind(N), L) [1] a__U94(tt, L) -> s(a__length(mark(L))) [1] a__isNat(0) -> tt [1] a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) [1] a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) [1] a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) [1] a__isNatIList(zeros) -> tt [1] a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2) [1] a__isNatIListKind(nil) -> tt [1] a__isNatIListKind(zeros) -> tt [1] a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2) [1] a__isNatKind(0) -> tt [1] a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1)) [1] a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1)) [1] a__isNatList(nil) -> tt [1] a__isNatList(cons(V1, V2)) -> a__U81(a__isNatKind(V1), V1, V2) [1] a__length(nil) -> 0 [1] a__length(cons(N, L)) -> a__U91(a__isNatList(L), L, N) [1] mark(zeros) -> a__zeros [1] mark(U11(X1, X2)) -> a__U11(mark(X1), X2) [1] mark(U12(X1, X2)) -> a__U12(mark(X1), X2) [1] mark(isNatIListKind(X)) -> a__isNatIListKind(X) [1] mark(U13(X)) -> a__U13(mark(X)) [1] mark(isNatList(X)) -> a__isNatList(X) [1] mark(U21(X1, X2)) -> a__U21(mark(X1), X2) [1] mark(U22(X1, X2)) -> a__U22(mark(X1), X2) [1] mark(isNatKind(X)) -> a__isNatKind(X) [1] mark(U23(X)) -> a__U23(mark(X)) [1] mark(isNat(X)) -> a__isNat(X) [1] mark(U31(X1, X2)) -> a__U31(mark(X1), X2) [1] mark(U32(X1, X2)) -> a__U32(mark(X1), X2) [1] mark(U33(X)) -> a__U33(mark(X)) [1] mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) [1] mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3) [1] mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3) [1] mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3) [1] mark(U45(X1, X2)) -> a__U45(mark(X1), X2) [1] mark(U46(X)) -> a__U46(mark(X)) [1] mark(isNatIList(X)) -> a__isNatIList(X) [1] mark(U51(X1, X2)) -> a__U51(mark(X1), X2) [1] mark(U52(X)) -> a__U52(mark(X)) [1] mark(U61(X)) -> a__U61(mark(X)) [1] mark(U71(X)) -> a__U71(mark(X)) [1] mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3) [1] mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3) [1] mark(U83(X1, X2, X3)) -> a__U83(mark(X1), X2, X3) [1] mark(U84(X1, X2, X3)) -> a__U84(mark(X1), X2, X3) [1] mark(U85(X1, X2)) -> a__U85(mark(X1), X2) [1] mark(U86(X)) -> a__U86(mark(X)) [1] mark(U91(X1, X2, X3)) -> a__U91(mark(X1), X2, X3) [1] mark(U92(X1, X2, X3)) -> a__U92(mark(X1), X2, X3) [1] mark(U93(X1, X2, X3)) -> a__U93(mark(X1), X2, X3) [1] mark(U94(X1, X2)) -> a__U94(mark(X1), X2) [1] mark(length(X)) -> a__length(mark(X)) [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(0) -> 0 [1] mark(tt) -> tt [1] mark(s(X)) -> s(mark(X)) [1] mark(nil) -> nil [1] a__zeros -> zeros [1] a__U11(X1, X2) -> U11(X1, X2) [1] a__U12(X1, X2) -> U12(X1, X2) [1] a__isNatIListKind(X) -> isNatIListKind(X) [1] a__U13(X) -> U13(X) [1] a__isNatList(X) -> isNatList(X) [1] a__U21(X1, X2) -> U21(X1, X2) [1] a__U22(X1, X2) -> U22(X1, X2) [1] a__isNatKind(X) -> isNatKind(X) [1] a__U23(X) -> U23(X) [1] a__isNat(X) -> isNat(X) [1] a__U31(X1, X2) -> U31(X1, X2) [1] a__U32(X1, X2) -> U32(X1, X2) [1] a__U33(X) -> U33(X) [1] a__U41(X1, X2, X3) -> U41(X1, X2, X3) [1] a__U42(X1, X2, X3) -> U42(X1, X2, X3) [1] a__U43(X1, X2, X3) -> U43(X1, X2, X3) [1] a__U44(X1, X2, X3) -> U44(X1, X2, X3) [1] a__U45(X1, X2) -> U45(X1, X2) [1] a__U46(X) -> U46(X) [1] a__isNatIList(X) -> isNatIList(X) [1] a__U51(X1, X2) -> U51(X1, X2) [1] a__U52(X) -> U52(X) [1] a__U61(X) -> U61(X) [1] a__U71(X) -> U71(X) [1] a__U81(X1, X2, X3) -> U81(X1, X2, X3) [1] a__U82(X1, X2, X3) -> U82(X1, X2, X3) [1] a__U83(X1, X2, X3) -> U83(X1, X2, X3) [1] a__U84(X1, X2, X3) -> U84(X1, X2, X3) [1] a__U85(X1, X2) -> U85(X1, X2) [1] a__U86(X) -> U86(X) [1] a__U91(X1, X2, X3) -> U91(X1, X2, X3) [1] a__U92(X1, X2, X3) -> U92(X1, X2, X3) [1] a__U93(X1, X2, X3) -> U93(X1, X2, X3) [1] a__U94(X1, X2) -> U94(X1, X2) [1] a__length(X) -> length(X) [1] The TRS has the following type information: a__zeros :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 cons :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 0 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 zeros :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U11 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 tt :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U12 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatIListKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U13 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatList :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U21 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U22 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U23 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNat :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U31 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U32 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U33 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U41 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U42 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 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a__length :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 mark :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 length :: 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isNatIListKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U13 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatList :: 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U22 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 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0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U33 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U41 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U42 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U43 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U44 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U45 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U46 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatIList :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U51 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U52 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U61 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U71 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U81 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U82 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U83 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U84 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U85 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U86 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U91 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U92 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U93 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U94 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 Rewrite Strategy: INNERMOST ---------------------------------------- (21) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: none (c) The following functions are completely defined: a__isNatKind_1 mark_1 a__isNatIListKind_1 a__isNat_1 a__isNatList_1 a__isNatIList_1 a__length_1 a__U52_1 a__U33_1 a__U71_1 a__U41_3 a__U61_1 a__U13_1 a__zeros a__U23_1 a__U51_2 a__U91_3 a__U31_2 a__U21_2 a__U86_1 a__U45_2 a__U82_3 a__U44_3 a__U85_2 a__U42_3 a__U46_1 a__U83_3 a__U12_2 a__U84_3 a__U94_2 a__U32_2 a__U93_3 a__U43_3 a__U81_3 a__U22_2 a__U11_2 a__U92_3 Due to the following rules being added: none And the following fresh constants: none ---------------------------------------- (22) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__zeros -> cons(0, zeros) [1] a__U11(tt, V1) -> a__U12(a__isNatIListKind(V1), V1) [1] a__U12(tt, V1) -> a__U13(a__isNatList(V1)) [1] a__U13(tt) -> tt [1] a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) [1] a__U22(tt, V1) -> a__U23(a__isNat(V1)) [1] a__U23(tt) -> tt [1] a__U31(tt, V) -> a__U32(a__isNatIListKind(V), V) [1] a__U32(tt, V) -> a__U33(a__isNatList(V)) [1] a__U33(tt) -> tt [1] a__U41(tt, V1, V2) -> a__U42(a__isNatKind(V1), V1, V2) [1] a__U42(tt, V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2) [1] a__U43(tt, V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2) [1] a__U44(tt, V1, V2) -> a__U45(a__isNat(V1), V2) [1] a__U45(tt, V2) -> a__U46(a__isNatIList(V2)) [1] a__U46(tt) -> tt [1] a__U51(tt, V2) -> a__U52(a__isNatIListKind(V2)) [1] a__U52(tt) -> tt [1] a__U61(tt) -> tt [1] a__U71(tt) -> tt [1] a__U81(tt, V1, V2) -> a__U82(a__isNatKind(V1), V1, V2) [1] a__U82(tt, V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2) [1] a__U83(tt, V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2) [1] a__U84(tt, V1, V2) -> a__U85(a__isNat(V1), V2) [1] a__U85(tt, V2) -> a__U86(a__isNatList(V2)) [1] a__U86(tt) -> tt [1] a__U91(tt, L, N) -> a__U92(a__isNatIListKind(L), L, N) [1] a__U92(tt, L, N) -> a__U93(a__isNat(N), L, N) [1] a__U93(tt, L, N) -> a__U94(a__isNatKind(N), L) [1] a__U94(tt, L) -> s(a__length(mark(L))) [1] a__isNat(0) -> tt [1] a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) [1] a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) [1] a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) [1] a__isNatIList(zeros) -> tt [1] a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2) [1] a__isNatIListKind(nil) -> tt [1] a__isNatIListKind(zeros) -> tt [1] a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2) [1] a__isNatKind(0) -> tt [1] a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1)) [1] a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1)) [1] a__isNatList(nil) -> tt [1] a__isNatList(cons(V1, V2)) -> a__U81(a__isNatKind(V1), V1, V2) [1] a__length(nil) -> 0 [1] a__length(cons(N, L)) -> a__U91(a__isNatList(L), L, N) [1] mark(zeros) -> a__zeros [1] mark(U11(X1, X2)) -> a__U11(mark(X1), X2) [1] mark(U12(X1, X2)) -> a__U12(mark(X1), X2) [1] mark(isNatIListKind(X)) -> a__isNatIListKind(X) [1] mark(U13(X)) -> a__U13(mark(X)) [1] mark(isNatList(X)) -> a__isNatList(X) [1] mark(U21(X1, X2)) -> a__U21(mark(X1), X2) [1] mark(U22(X1, X2)) -> a__U22(mark(X1), X2) [1] mark(isNatKind(X)) -> a__isNatKind(X) [1] mark(U23(X)) -> a__U23(mark(X)) [1] mark(isNat(X)) -> a__isNat(X) [1] mark(U31(X1, X2)) -> a__U31(mark(X1), X2) [1] mark(U32(X1, X2)) -> a__U32(mark(X1), X2) [1] mark(U33(X)) -> a__U33(mark(X)) [1] mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) [1] mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3) [1] mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3) [1] mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3) [1] mark(U45(X1, X2)) -> a__U45(mark(X1), X2) [1] mark(U46(X)) -> a__U46(mark(X)) [1] mark(isNatIList(X)) -> a__isNatIList(X) [1] mark(U51(X1, X2)) -> a__U51(mark(X1), X2) [1] mark(U52(X)) -> a__U52(mark(X)) [1] mark(U61(X)) -> a__U61(mark(X)) [1] mark(U71(X)) -> a__U71(mark(X)) [1] mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3) [1] mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3) [1] mark(U83(X1, X2, X3)) -> a__U83(mark(X1), X2, X3) [1] mark(U84(X1, X2, X3)) -> a__U84(mark(X1), X2, X3) [1] mark(U85(X1, X2)) -> a__U85(mark(X1), X2) [1] mark(U86(X)) -> a__U86(mark(X)) [1] mark(U91(X1, X2, X3)) -> a__U91(mark(X1), X2, X3) [1] mark(U92(X1, X2, X3)) -> a__U92(mark(X1), X2, X3) [1] mark(U93(X1, X2, X3)) -> a__U93(mark(X1), X2, X3) [1] mark(U94(X1, X2)) -> a__U94(mark(X1), X2) [1] mark(length(X)) -> a__length(mark(X)) [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(0) -> 0 [1] mark(tt) -> tt [1] mark(s(X)) -> s(mark(X)) [1] mark(nil) -> nil [1] a__zeros -> zeros [1] a__U11(X1, X2) -> U11(X1, X2) [1] a__U12(X1, X2) -> U12(X1, X2) [1] a__isNatIListKind(X) -> isNatIListKind(X) [1] a__U13(X) -> U13(X) [1] a__isNatList(X) -> isNatList(X) [1] a__U21(X1, X2) -> U21(X1, X2) [1] a__U22(X1, X2) -> U22(X1, X2) [1] a__isNatKind(X) -> isNatKind(X) [1] a__U23(X) -> U23(X) [1] a__isNat(X) -> isNat(X) [1] a__U31(X1, X2) -> U31(X1, X2) [1] a__U32(X1, X2) -> U32(X1, X2) [1] a__U33(X) -> U33(X) [1] a__U41(X1, X2, X3) -> U41(X1, X2, X3) [1] a__U42(X1, X2, X3) -> U42(X1, X2, X3) [1] a__U43(X1, X2, X3) -> U43(X1, X2, X3) [1] a__U44(X1, X2, X3) -> U44(X1, X2, X3) [1] a__U45(X1, X2) -> U45(X1, X2) [1] a__U46(X) -> U46(X) [1] a__isNatIList(X) -> isNatIList(X) [1] a__U51(X1, X2) -> U51(X1, X2) [1] a__U52(X) -> U52(X) [1] a__U61(X) -> U61(X) [1] a__U71(X) -> U71(X) [1] a__U81(X1, X2, X3) -> U81(X1, X2, X3) [1] a__U82(X1, X2, X3) -> U82(X1, X2, X3) [1] a__U83(X1, X2, X3) -> U83(X1, X2, X3) [1] a__U84(X1, X2, X3) -> U84(X1, X2, X3) [1] a__U85(X1, X2) -> U85(X1, X2) [1] a__U86(X) -> U86(X) [1] a__U91(X1, X2, X3) -> U91(X1, X2, X3) [1] a__U92(X1, X2, X3) -> U92(X1, X2, X3) [1] a__U93(X1, X2, X3) -> U93(X1, X2, X3) [1] a__U94(X1, X2) -> U94(X1, X2) [1] a__length(X) -> length(X) [1] The TRS has the following type information: a__zeros :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 cons :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 0 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 zeros :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U11 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 tt :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U12 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatIListKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U13 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatList :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U21 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 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a__length :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 mark :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 length :: 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isNatIListKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U13 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatList :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U21 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U22 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U23 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNat :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U31 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U32 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U33 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U41 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U42 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U43 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U44 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U45 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U46 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatIList :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U51 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U52 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U61 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U71 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U81 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U82 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U83 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U84 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U85 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U86 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U91 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U92 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U93 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U94 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 Rewrite Strategy: INNERMOST ---------------------------------------- (23) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (24) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__zeros -> cons(0, zeros) [1] a__U11(tt, nil) -> a__U12(tt, nil) [2] a__U11(tt, zeros) -> a__U12(tt, zeros) [2] a__U11(tt, cons(V1', V2')) -> a__U12(a__U51(a__isNatKind(V1'), V2'), cons(V1', V2')) [2] a__U11(tt, V1) -> a__U12(isNatIListKind(V1), V1) [2] a__U12(tt, nil) -> a__U13(tt) [2] a__U12(tt, cons(V1'', V2'')) -> a__U13(a__U81(a__isNatKind(V1''), V1'', V2'')) [2] a__U12(tt, V1) -> a__U13(isNatList(V1)) [2] a__U13(tt) -> tt [1] a__U21(tt, 0) -> a__U22(tt, 0) [2] a__U21(tt, length(V11)) -> a__U22(a__U61(a__isNatIListKind(V11)), length(V11)) [2] a__U21(tt, s(V12)) -> a__U22(a__U71(a__isNatKind(V12)), s(V12)) [2] a__U21(tt, V1) -> a__U22(isNatKind(V1), V1) [2] a__U22(tt, 0) -> a__U23(tt) [2] a__U22(tt, length(V13)) -> a__U23(a__U11(a__isNatIListKind(V13), V13)) [2] a__U22(tt, s(V14)) -> a__U23(a__U21(a__isNatKind(V14), V14)) [2] a__U22(tt, V1) -> a__U23(isNat(V1)) [2] a__U23(tt) -> tt [1] a__U31(tt, nil) -> a__U32(tt, nil) [2] a__U31(tt, zeros) -> a__U32(tt, zeros) [2] a__U31(tt, cons(V15, V21)) -> a__U32(a__U51(a__isNatKind(V15), V21), cons(V15, V21)) [2] a__U31(tt, V) -> a__U32(isNatIListKind(V), V) [2] a__U32(tt, nil) -> a__U33(tt) [2] a__U32(tt, cons(V16, V22)) -> a__U33(a__U81(a__isNatKind(V16), V16, V22)) [2] a__U32(tt, V) -> a__U33(isNatList(V)) [2] a__U33(tt) -> tt [1] a__U41(tt, 0, V2) -> a__U42(tt, 0, V2) [2] a__U41(tt, length(V17), V2) -> a__U42(a__U61(a__isNatIListKind(V17)), length(V17), V2) [2] a__U41(tt, s(V18), V2) -> a__U42(a__U71(a__isNatKind(V18)), s(V18), V2) [2] a__U41(tt, V1, V2) -> a__U42(isNatKind(V1), V1, V2) [2] a__U42(tt, V1, nil) -> a__U43(tt, V1, nil) [2] a__U42(tt, V1, zeros) -> a__U43(tt, V1, zeros) [2] a__U42(tt, V1, cons(V19, V23)) -> a__U43(a__U51(a__isNatKind(V19), V23), V1, cons(V19, V23)) [2] a__U42(tt, V1, V2) -> a__U43(isNatIListKind(V2), V1, V2) [2] a__U43(tt, V1, nil) -> a__U44(tt, V1, nil) [2] a__U43(tt, V1, zeros) -> a__U44(tt, V1, zeros) [2] a__U43(tt, V1, cons(V110, V24)) -> a__U44(a__U51(a__isNatKind(V110), V24), V1, cons(V110, V24)) [2] a__U43(tt, V1, V2) -> a__U44(isNatIListKind(V2), V1, V2) [2] a__U44(tt, 0, V2) -> a__U45(tt, V2) [2] a__U44(tt, length(V111), V2) -> a__U45(a__U11(a__isNatIListKind(V111), V111), V2) [2] a__U44(tt, s(V112), V2) -> a__U45(a__U21(a__isNatKind(V112), V112), V2) [2] a__U44(tt, V1, V2) -> a__U45(isNat(V1), V2) [2] a__U45(tt, V2) -> a__U46(a__U31(a__isNatIListKind(V2), V2)) [2] a__U45(tt, zeros) -> a__U46(tt) [2] a__U45(tt, cons(V113, V25)) -> a__U46(a__U41(a__isNatKind(V113), V113, V25)) [2] a__U45(tt, V2) -> a__U46(isNatIList(V2)) [2] a__U46(tt) -> tt [1] a__U51(tt, nil) -> a__U52(tt) [2] a__U51(tt, zeros) -> a__U52(tt) [2] a__U51(tt, cons(V114, V26)) -> a__U52(a__U51(a__isNatKind(V114), V26)) [2] a__U51(tt, V2) -> a__U52(isNatIListKind(V2)) [2] a__U52(tt) -> tt [1] a__U61(tt) -> tt [1] a__U71(tt) -> tt [1] a__U81(tt, 0, V2) -> a__U82(tt, 0, V2) [2] a__U81(tt, length(V115), V2) -> a__U82(a__U61(a__isNatIListKind(V115)), length(V115), V2) [2] a__U81(tt, s(V116), V2) -> a__U82(a__U71(a__isNatKind(V116)), s(V116), V2) [2] a__U81(tt, V1, V2) -> a__U82(isNatKind(V1), V1, V2) [2] a__U82(tt, V1, nil) -> a__U83(tt, V1, nil) [2] a__U82(tt, V1, zeros) -> a__U83(tt, V1, zeros) [2] a__U82(tt, V1, cons(V117, V27)) -> a__U83(a__U51(a__isNatKind(V117), V27), V1, cons(V117, V27)) [2] a__U82(tt, V1, V2) -> a__U83(isNatIListKind(V2), V1, V2) [2] a__U83(tt, V1, nil) -> a__U84(tt, V1, nil) [2] a__U83(tt, V1, zeros) -> a__U84(tt, V1, zeros) [2] a__U83(tt, V1, cons(V118, V28)) -> a__U84(a__U51(a__isNatKind(V118), V28), V1, cons(V118, V28)) [2] a__U83(tt, V1, V2) -> a__U84(isNatIListKind(V2), V1, V2) [2] a__U84(tt, 0, V2) -> a__U85(tt, V2) [2] a__U84(tt, length(V119), V2) -> a__U85(a__U11(a__isNatIListKind(V119), V119), V2) [2] a__U84(tt, s(V120), V2) -> a__U85(a__U21(a__isNatKind(V120), V120), V2) [2] a__U84(tt, V1, V2) -> a__U85(isNat(V1), V2) [2] a__U85(tt, nil) -> a__U86(tt) [2] a__U85(tt, cons(V121, V29)) -> a__U86(a__U81(a__isNatKind(V121), V121, V29)) [2] a__U85(tt, V2) -> a__U86(isNatList(V2)) [2] a__U86(tt) -> tt [1] a__U91(tt, nil, N) -> a__U92(tt, nil, N) [2] a__U91(tt, zeros, N) -> a__U92(tt, zeros, N) [2] a__U91(tt, cons(V122, V210), N) -> a__U92(a__U51(a__isNatKind(V122), V210), cons(V122, V210), N) [2] a__U91(tt, L, N) -> a__U92(isNatIListKind(L), L, N) [2] a__U92(tt, L, 0) -> a__U93(tt, L, 0) [2] a__U92(tt, L, length(V123)) -> a__U93(a__U11(a__isNatIListKind(V123), V123), L, length(V123)) [2] a__U92(tt, L, s(V124)) -> a__U93(a__U21(a__isNatKind(V124), V124), L, s(V124)) [2] a__U92(tt, L, N) -> a__U93(isNat(N), L, N) [2] a__U93(tt, L, 0) -> a__U94(tt, L) [2] a__U93(tt, L, length(V125)) -> a__U94(a__U61(a__isNatIListKind(V125)), L) [2] a__U93(tt, L, s(V126)) -> a__U94(a__U71(a__isNatKind(V126)), L) [2] a__U93(tt, L, N) -> a__U94(isNatKind(N), L) [2] a__U94(tt, L) -> s(a__length(mark(L))) [1] a__isNat(0) -> tt [1] a__isNat(length(nil)) -> a__U11(tt, nil) [2] a__isNat(length(zeros)) -> a__U11(tt, zeros) [2] a__isNat(length(cons(V127, V211))) -> a__U11(a__U51(a__isNatKind(V127), V211), cons(V127, V211)) [2] a__isNat(length(V1)) -> a__U11(isNatIListKind(V1), V1) [2] a__isNat(s(0)) -> a__U21(tt, 0) [2] a__isNat(s(length(V128))) -> a__U21(a__U61(a__isNatIListKind(V128)), length(V128)) [2] a__isNat(s(s(V129))) -> a__U21(a__U71(a__isNatKind(V129)), s(V129)) [2] a__isNat(s(V1)) -> a__U21(isNatKind(V1), V1) [2] a__isNatIList(nil) -> a__U31(tt, nil) [2] a__isNatIList(zeros) -> a__U31(tt, zeros) [2] a__isNatIList(cons(V130, V212)) -> a__U31(a__U51(a__isNatKind(V130), V212), cons(V130, V212)) [2] a__isNatIList(V) -> a__U31(isNatIListKind(V), V) [2] a__isNatIList(zeros) -> tt [1] a__isNatIList(cons(0, V2)) -> a__U41(tt, 0, V2) [2] a__isNatIList(cons(length(V131), V2)) -> a__U41(a__U61(a__isNatIListKind(V131)), length(V131), V2) [2] a__isNatIList(cons(s(V132), V2)) -> a__U41(a__U71(a__isNatKind(V132)), s(V132), V2) [2] a__isNatIList(cons(V1, V2)) -> a__U41(isNatKind(V1), V1, V2) [2] a__isNatIListKind(nil) -> tt [1] a__isNatIListKind(zeros) -> tt [1] a__isNatIListKind(cons(0, V2)) -> a__U51(tt, V2) [2] a__isNatIListKind(cons(length(V133), V2)) -> a__U51(a__U61(a__isNatIListKind(V133)), V2) [2] a__isNatIListKind(cons(s(V134), V2)) -> a__U51(a__U71(a__isNatKind(V134)), V2) [2] a__isNatIListKind(cons(V1, V2)) -> a__U51(isNatKind(V1), V2) [2] a__isNatKind(0) -> tt [1] a__isNatKind(length(nil)) -> a__U61(tt) [2] a__isNatKind(length(zeros)) -> a__U61(tt) [2] a__isNatKind(length(cons(V135, V213))) -> a__U61(a__U51(a__isNatKind(V135), V213)) [2] a__isNatKind(length(V1)) -> a__U61(isNatIListKind(V1)) [2] a__isNatKind(s(0)) -> a__U71(tt) [2] a__isNatKind(s(length(V136))) -> a__U71(a__U61(a__isNatIListKind(V136))) [2] a__isNatKind(s(s(V137))) -> a__U71(a__U71(a__isNatKind(V137))) [2] a__isNatKind(s(V1)) -> a__U71(isNatKind(V1)) [2] a__isNatList(nil) -> tt [1] a__isNatList(cons(0, V2)) -> a__U81(tt, 0, V2) [2] a__isNatList(cons(length(V138), V2)) -> a__U81(a__U61(a__isNatIListKind(V138)), length(V138), V2) [2] a__isNatList(cons(s(V139), V2)) -> a__U81(a__U71(a__isNatKind(V139)), s(V139), V2) [2] a__isNatList(cons(V1, V2)) -> a__U81(isNatKind(V1), V1, V2) [2] a__length(nil) -> 0 [1] a__length(cons(N, nil)) -> a__U91(tt, nil, N) [2] a__length(cons(N, cons(V140, V214))) -> a__U91(a__U81(a__isNatKind(V140), V140, V214), cons(V140, V214), N) [2] a__length(cons(N, L)) -> a__U91(isNatList(L), L, N) [2] mark(zeros) -> a__zeros [1] mark(U11(X1, X2)) -> a__U11(mark(X1), X2) [1] mark(U12(X1, X2)) -> a__U12(mark(X1), X2) [1] mark(isNatIListKind(X)) -> a__isNatIListKind(X) [1] mark(U13(X)) -> a__U13(mark(X)) [1] mark(isNatList(X)) -> a__isNatList(X) [1] mark(U21(X1, X2)) -> a__U21(mark(X1), X2) [1] mark(U22(X1, X2)) -> a__U22(mark(X1), X2) [1] mark(isNatKind(X)) -> a__isNatKind(X) [1] mark(U23(X)) -> a__U23(mark(X)) [1] mark(isNat(X)) -> a__isNat(X) [1] mark(U31(X1, X2)) -> a__U31(mark(X1), X2) [1] mark(U32(X1, X2)) -> a__U32(mark(X1), X2) [1] mark(U33(X)) -> a__U33(mark(X)) [1] mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) [1] mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3) [1] mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3) [1] mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3) [1] mark(U45(X1, X2)) -> a__U45(mark(X1), X2) [1] mark(U46(X)) -> a__U46(mark(X)) [1] mark(isNatIList(X)) -> a__isNatIList(X) [1] mark(U51(X1, X2)) -> a__U51(mark(X1), X2) [1] mark(U52(X)) -> a__U52(mark(X)) [1] mark(U61(X)) -> a__U61(mark(X)) [1] mark(U71(X)) -> a__U71(mark(X)) [1] mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3) [1] mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3) [1] mark(U83(X1, X2, X3)) -> a__U83(mark(X1), X2, X3) [1] mark(U84(X1, X2, X3)) -> a__U84(mark(X1), X2, X3) [1] mark(U85(X1, X2)) -> a__U85(mark(X1), X2) [1] mark(U86(X)) -> a__U86(mark(X)) [1] mark(U91(X1, X2, X3)) -> a__U91(mark(X1), X2, X3) [1] mark(U92(X1, X2, X3)) -> a__U92(mark(X1), X2, X3) [1] mark(U93(X1, X2, X3)) -> a__U93(mark(X1), X2, X3) [1] mark(U94(X1, X2)) -> a__U94(mark(X1), X2) [1] mark(length(X)) -> a__length(mark(X)) [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(0) -> 0 [1] mark(tt) -> tt [1] mark(s(X)) -> s(mark(X)) [1] mark(nil) -> nil [1] a__zeros -> zeros [1] a__U11(X1, X2) -> U11(X1, X2) [1] a__U12(X1, X2) -> U12(X1, X2) [1] a__isNatIListKind(X) -> isNatIListKind(X) [1] a__U13(X) -> U13(X) [1] a__isNatList(X) -> isNatList(X) [1] a__U21(X1, X2) -> U21(X1, X2) [1] a__U22(X1, X2) -> U22(X1, X2) [1] a__isNatKind(X) -> isNatKind(X) [1] a__U23(X) -> U23(X) [1] a__isNat(X) -> isNat(X) [1] a__U31(X1, X2) -> U31(X1, X2) [1] a__U32(X1, X2) -> U32(X1, X2) [1] a__U33(X) -> U33(X) [1] a__U41(X1, X2, X3) -> U41(X1, X2, X3) [1] a__U42(X1, X2, X3) -> U42(X1, X2, X3) [1] a__U43(X1, X2, X3) -> U43(X1, X2, X3) [1] a__U44(X1, X2, X3) -> U44(X1, X2, X3) [1] a__U45(X1, X2) -> U45(X1, X2) [1] a__U46(X) -> U46(X) [1] a__isNatIList(X) -> isNatIList(X) [1] a__U51(X1, X2) -> U51(X1, X2) [1] a__U52(X) -> U52(X) [1] a__U61(X) -> U61(X) [1] a__U71(X) -> U71(X) [1] a__U81(X1, X2, X3) -> U81(X1, X2, X3) [1] a__U82(X1, X2, X3) -> U82(X1, X2, X3) [1] a__U83(X1, X2, X3) -> U83(X1, X2, X3) [1] a__U84(X1, X2, X3) -> U84(X1, X2, X3) [1] a__U85(X1, X2) -> U85(X1, X2) [1] a__U86(X) -> U86(X) [1] a__U91(X1, X2, X3) -> U91(X1, X2, X3) [1] a__U92(X1, X2, X3) -> U92(X1, X2, X3) [1] a__U93(X1, X2, X3) -> U93(X1, X2, X3) [1] a__U94(X1, X2) -> U94(X1, X2) [1] a__length(X) -> length(X) [1] The TRS has the following type information: a__zeros :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 cons :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 0 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 zeros :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U11 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 tt :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U12 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatIListKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U13 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatList :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U21 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U22 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U23 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNat :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 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U22 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U23 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNat :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U31 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U32 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U33 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U41 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U42 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U43 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U44 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U45 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U46 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatIList :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U51 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U52 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U61 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U71 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U81 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U82 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U83 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U84 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U85 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U86 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U91 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U92 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U93 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U94 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 Rewrite Strategy: INNERMOST ---------------------------------------- (25) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 zeros => 3 tt => 2 nil => 1 ---------------------------------------- (26) Obligation: Complexity RNTS consisting of the following rules: a__U11(z, z') -{ 2 }-> a__U12(a__U51(a__isNatKind(V1'), V2'), 1 + V1' + V2') :|: z = 2, z' = 1 + V1' + V2', V2' >= 0, V1' >= 0 a__U11(z, z') -{ 2 }-> a__U12(2, 3) :|: z = 2, z' = 3 a__U11(z, z') -{ 2 }-> a__U12(2, 1) :|: z = 2, z' = 1 a__U11(z, z') -{ 2 }-> a__U12(1 + V1, V1) :|: z = 2, V1 >= 0, z' = V1 a__U11(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U12(z, z') -{ 2 }-> a__U13(a__U81(a__isNatKind(V1''), V1'', V2'')) :|: z = 2, V1'' >= 0, V2'' >= 0, z' = 1 + V1'' + V2'' a__U12(z, z') -{ 2 }-> a__U13(2) :|: z = 2, z' = 1 a__U12(z, z') -{ 2 }-> a__U13(1 + V1) :|: z = 2, V1 >= 0, z' = V1 a__U12(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U13(z) -{ 1 }-> 2 :|: z = 2 a__U13(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U21(z, z') -{ 2 }-> a__U22(a__U71(a__isNatKind(V12)), 1 + V12) :|: z = 2, V12 >= 0, z' = 1 + V12 a__U21(z, z') -{ 2 }-> a__U22(a__U61(a__isNatIListKind(V11)), 1 + V11) :|: z = 2, V11 >= 0, z' = 1 + V11 a__U21(z, z') -{ 2 }-> a__U22(2, 0) :|: z = 2, z' = 0 a__U21(z, z') -{ 2 }-> a__U22(1 + V1, V1) :|: z = 2, V1 >= 0, z' = V1 a__U21(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U22(z, z') -{ 2 }-> a__U23(a__U21(a__isNatKind(V14), V14)) :|: z = 2, V14 >= 0, z' = 1 + V14 a__U22(z, z') -{ 2 }-> a__U23(a__U11(a__isNatIListKind(V13), V13)) :|: z = 2, V13 >= 0, z' = 1 + V13 a__U22(z, z') -{ 2 }-> a__U23(2) :|: z = 2, z' = 0 a__U22(z, z') -{ 2 }-> a__U23(1 + V1) :|: z = 2, V1 >= 0, z' = V1 a__U22(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U23(z) -{ 1 }-> 2 :|: z = 2 a__U23(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U31(z, z') -{ 2 }-> a__U32(a__U51(a__isNatKind(V15), V21), 1 + V15 + V21) :|: z = 2, z' = 1 + V15 + V21, V21 >= 0, V15 >= 0 a__U31(z, z') -{ 2 }-> a__U32(2, 3) :|: z = 2, z' = 3 a__U31(z, z') -{ 2 }-> a__U32(2, 1) :|: z = 2, z' = 1 a__U31(z, z') -{ 2 }-> a__U32(1 + V, V) :|: z = 2, z' = V, V >= 0 a__U31(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U32(z, z') -{ 2 }-> a__U33(a__U81(a__isNatKind(V16), V16, V22)) :|: z = 2, z' = 1 + V16 + V22, V22 >= 0, V16 >= 0 a__U32(z, z') -{ 2 }-> a__U33(2) :|: z = 2, z' = 1 a__U32(z, z') -{ 2 }-> a__U33(1 + V) :|: z = 2, z' = V, V >= 0 a__U32(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U33(z) -{ 1 }-> 2 :|: z = 2 a__U33(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U41(z, z', z'') -{ 2 }-> a__U42(a__U71(a__isNatKind(V18)), 1 + V18, V2) :|: z = 2, V18 >= 0, z' = 1 + V18, V2 >= 0, z'' = V2 a__U41(z, z', z'') -{ 2 }-> a__U42(a__U61(a__isNatIListKind(V17)), 1 + V17, V2) :|: z = 2, z' = 1 + V17, V2 >= 0, V17 >= 0, z'' = V2 a__U41(z, z', z'') -{ 2 }-> a__U42(2, 0, V2) :|: z = 2, V2 >= 0, z'' = V2, z' = 0 a__U41(z, z', z'') -{ 2 }-> a__U42(1 + V1, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U41(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U42(z, z', z'') -{ 2 }-> a__U43(a__U51(a__isNatKind(V19), V23), V1, 1 + V19 + V23) :|: z = 2, V1 >= 0, z'' = 1 + V19 + V23, V19 >= 0, V23 >= 0, z' = V1 a__U42(z, z', z'') -{ 2 }-> a__U43(2, V1, 3) :|: z = 2, V1 >= 0, z'' = 3, z' = V1 a__U42(z, z', z'') -{ 2 }-> a__U43(2, V1, 1) :|: z = 2, V1 >= 0, z'' = 1, z' = V1 a__U42(z, z', z'') -{ 2 }-> a__U43(1 + V2, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U42(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U43(z, z', z'') -{ 2 }-> a__U44(a__U51(a__isNatKind(V110), V24), V1, 1 + V110 + V24) :|: z = 2, V110 >= 0, V24 >= 0, V1 >= 0, z'' = 1 + V110 + V24, z' = V1 a__U43(z, z', z'') -{ 2 }-> a__U44(2, V1, 3) :|: z = 2, V1 >= 0, z'' = 3, z' = V1 a__U43(z, z', z'') -{ 2 }-> a__U44(2, V1, 1) :|: z = 2, V1 >= 0, z'' = 1, z' = V1 a__U43(z, z', z'') -{ 2 }-> a__U44(1 + V2, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U43(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U44(z, z', z'') -{ 2 }-> a__U45(a__U21(a__isNatKind(V112), V112), V2) :|: z = 2, V2 >= 0, V112 >= 0, z' = 1 + V112, z'' = V2 a__U44(z, z', z'') -{ 2 }-> a__U45(a__U11(a__isNatIListKind(V111), V111), V2) :|: z = 2, V2 >= 0, z' = 1 + V111, V111 >= 0, z'' = V2 a__U44(z, z', z'') -{ 2 }-> a__U45(2, V2) :|: z = 2, V2 >= 0, z'' = V2, z' = 0 a__U44(z, z', z'') -{ 2 }-> a__U45(1 + V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U44(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U45(z, z') -{ 2 }-> a__U46(a__U41(a__isNatKind(V113), V113, V25)) :|: z = 2, z' = 1 + V113 + V25, V25 >= 0, V113 >= 0 a__U45(z, z') -{ 2 }-> a__U46(a__U31(a__isNatIListKind(V2), V2)) :|: z = 2, z' = V2, V2 >= 0 a__U45(z, z') -{ 2 }-> a__U46(2) :|: z = 2, z' = 3 a__U45(z, z') -{ 2 }-> a__U46(1 + V2) :|: z = 2, z' = V2, V2 >= 0 a__U45(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U46(z) -{ 1 }-> 2 :|: z = 2 a__U46(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U51(z, z') -{ 2 }-> a__U52(a__U51(a__isNatKind(V114), V26)) :|: z = 2, z' = 1 + V114 + V26, V114 >= 0, V26 >= 0 a__U51(z, z') -{ 2 }-> a__U52(2) :|: z = 2, z' = 1 a__U51(z, z') -{ 2 }-> a__U52(2) :|: z = 2, z' = 3 a__U51(z, z') -{ 2 }-> a__U52(1 + V2) :|: z = 2, z' = V2, V2 >= 0 a__U51(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U52(z) -{ 1 }-> 2 :|: z = 2 a__U52(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U61(z) -{ 1 }-> 2 :|: z = 2 a__U61(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U71(z) -{ 1 }-> 2 :|: z = 2 a__U71(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U81(z, z', z'') -{ 2 }-> a__U82(a__U71(a__isNatKind(V116)), 1 + V116, V2) :|: z = 2, V2 >= 0, V116 >= 0, z'' = V2, z' = 1 + V116 a__U81(z, z', z'') -{ 2 }-> a__U82(a__U61(a__isNatIListKind(V115)), 1 + V115, V2) :|: z = 2, V2 >= 0, V115 >= 0, z' = 1 + V115, z'' = V2 a__U81(z, z', z'') -{ 2 }-> a__U82(2, 0, V2) :|: z = 2, V2 >= 0, z'' = V2, z' = 0 a__U81(z, z', z'') -{ 2 }-> a__U82(1 + V1, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U81(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U82(z, z', z'') -{ 2 }-> a__U83(a__U51(a__isNatKind(V117), V27), V1, 1 + V117 + V27) :|: z = 2, V1 >= 0, V117 >= 0, z'' = 1 + V117 + V27, V27 >= 0, z' = V1 a__U82(z, z', z'') -{ 2 }-> a__U83(2, V1, 3) :|: z = 2, V1 >= 0, z'' = 3, z' = V1 a__U82(z, z', z'') -{ 2 }-> a__U83(2, V1, 1) :|: z = 2, V1 >= 0, z'' = 1, z' = V1 a__U82(z, z', z'') -{ 2 }-> a__U83(1 + V2, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U82(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U83(z, z', z'') -{ 2 }-> a__U84(a__U51(a__isNatKind(V118), V28), V1, 1 + V118 + V28) :|: z = 2, V118 >= 0, V28 >= 0, V1 >= 0, z'' = 1 + V118 + V28, z' = V1 a__U83(z, z', z'') -{ 2 }-> a__U84(2, V1, 3) :|: z = 2, V1 >= 0, z'' = 3, z' = V1 a__U83(z, z', z'') -{ 2 }-> a__U84(2, V1, 1) :|: z = 2, V1 >= 0, z'' = 1, z' = V1 a__U83(z, z', z'') -{ 2 }-> a__U84(1 + V2, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U83(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U84(z, z', z'') -{ 2 }-> a__U85(a__U21(a__isNatKind(V120), V120), V2) :|: z = 2, z' = 1 + V120, V120 >= 0, V2 >= 0, z'' = V2 a__U84(z, z', z'') -{ 2 }-> a__U85(a__U11(a__isNatIListKind(V119), V119), V2) :|: z = 2, z' = 1 + V119, V2 >= 0, V119 >= 0, z'' = V2 a__U84(z, z', z'') -{ 2 }-> a__U85(2, V2) :|: z = 2, V2 >= 0, z'' = V2, z' = 0 a__U84(z, z', z'') -{ 2 }-> a__U85(1 + V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U84(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U85(z, z') -{ 2 }-> a__U86(a__U81(a__isNatKind(V121), V121, V29)) :|: z = 2, V121 >= 0, V29 >= 0, z' = 1 + V121 + V29 a__U85(z, z') -{ 2 }-> a__U86(2) :|: z = 2, z' = 1 a__U85(z, z') -{ 2 }-> a__U86(1 + V2) :|: z = 2, z' = V2, V2 >= 0 a__U85(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U86(z) -{ 1 }-> 2 :|: z = 2 a__U86(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U91(z, z', z'') -{ 2 }-> a__U92(a__U51(a__isNatKind(V122), V210), 1 + V122 + V210, N) :|: z = 2, V122 >= 0, V210 >= 0, z' = 1 + V122 + V210, z'' = N, N >= 0 a__U91(z, z', z'') -{ 2 }-> a__U92(2, 3, N) :|: z = 2, z' = 3, z'' = N, N >= 0 a__U91(z, z', z'') -{ 2 }-> a__U92(2, 1, N) :|: z = 2, z' = 1, z'' = N, N >= 0 a__U91(z, z', z'') -{ 2 }-> a__U92(1 + L, L, N) :|: z = 2, L >= 0, z'' = N, z' = L, N >= 0 a__U91(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U92(z, z', z'') -{ 2 }-> a__U93(a__U21(a__isNatKind(V124), V124), L, 1 + V124) :|: z = 2, V124 >= 0, z'' = 1 + V124, L >= 0, z' = L a__U92(z, z', z'') -{ 2 }-> a__U93(a__U11(a__isNatIListKind(V123), V123), L, 1 + V123) :|: z = 2, z'' = 1 + V123, L >= 0, z' = L, V123 >= 0 a__U92(z, z', z'') -{ 2 }-> a__U93(2, L, 0) :|: z = 2, z'' = 0, L >= 0, z' = L a__U92(z, z', z'') -{ 2 }-> a__U93(1 + N, L, N) :|: z = 2, L >= 0, z'' = N, z' = L, N >= 0 a__U92(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U93(z, z', z'') -{ 2 }-> a__U94(a__U71(a__isNatKind(V126)), L) :|: z = 2, z'' = 1 + V126, V126 >= 0, L >= 0, z' = L a__U93(z, z', z'') -{ 2 }-> a__U94(a__U61(a__isNatIListKind(V125)), L) :|: z = 2, V125 >= 0, z'' = 1 + V125, L >= 0, z' = L a__U93(z, z', z'') -{ 2 }-> a__U94(2, L) :|: z = 2, z'' = 0, L >= 0, z' = L a__U93(z, z', z'') -{ 2 }-> a__U94(1 + N, L) :|: z = 2, L >= 0, z'' = N, z' = L, N >= 0 a__U93(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U94(z, z') -{ 1 }-> 1 + a__length(mark(L)) :|: z = 2, L >= 0, z' = L a__U94(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__isNat(z) -{ 2 }-> a__U21(a__U71(a__isNatKind(V129)), 1 + V129) :|: V129 >= 0, z = 1 + (1 + V129) a__isNat(z) -{ 2 }-> a__U21(a__U61(a__isNatIListKind(V128)), 1 + V128) :|: V128 >= 0, z = 1 + (1 + V128) a__isNat(z) -{ 2 }-> a__U21(2, 0) :|: z = 1 + 0 a__isNat(z) -{ 2 }-> a__U21(1 + V1, V1) :|: z = 1 + V1, V1 >= 0 a__isNat(z) -{ 2 }-> a__U11(a__U51(a__isNatKind(V127), V211), 1 + V127 + V211) :|: z = 1 + (1 + V127 + V211), V127 >= 0, V211 >= 0 a__isNat(z) -{ 2 }-> a__U11(2, 3) :|: z = 1 + 3 a__isNat(z) -{ 2 }-> a__U11(2, 1) :|: z = 1 + 1 a__isNat(z) -{ 2 }-> a__U11(1 + V1, V1) :|: z = 1 + V1, V1 >= 0 a__isNat(z) -{ 1 }-> 2 :|: z = 0 a__isNat(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatIList(z) -{ 2 }-> a__U41(a__U71(a__isNatKind(V132)), 1 + V132, V2) :|: z = 1 + (1 + V132) + V2, V2 >= 0, V132 >= 0 a__isNatIList(z) -{ 2 }-> a__U41(a__U61(a__isNatIListKind(V131)), 1 + V131, V2) :|: V131 >= 0, V2 >= 0, z = 1 + (1 + V131) + V2 a__isNatIList(z) -{ 2 }-> a__U41(2, 0, V2) :|: V2 >= 0, z = 1 + 0 + V2 a__isNatIList(z) -{ 2 }-> a__U41(1 + V1, V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatIList(z) -{ 2 }-> a__U31(a__U51(a__isNatKind(V130), V212), 1 + V130 + V212) :|: V130 >= 0, z = 1 + V130 + V212, V212 >= 0 a__isNatIList(z) -{ 2 }-> a__U31(2, 3) :|: z = 3 a__isNatIList(z) -{ 2 }-> a__U31(2, 1) :|: z = 1 a__isNatIList(z) -{ 2 }-> a__U31(1 + V, V) :|: z = V, V >= 0 a__isNatIList(z) -{ 1 }-> 2 :|: z = 3 a__isNatIList(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatIListKind(z) -{ 2 }-> a__U51(a__U71(a__isNatKind(V134)), V2) :|: V2 >= 0, V134 >= 0, z = 1 + (1 + V134) + V2 a__isNatIListKind(z) -{ 2 }-> a__U51(a__U61(a__isNatIListKind(V133)), V2) :|: z = 1 + (1 + V133) + V2, V2 >= 0, V133 >= 0 a__isNatIListKind(z) -{ 2 }-> a__U51(2, V2) :|: V2 >= 0, z = 1 + 0 + V2 a__isNatIListKind(z) -{ 2 }-> a__U51(1 + V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatIListKind(z) -{ 1 }-> 2 :|: z = 1 a__isNatIListKind(z) -{ 1 }-> 2 :|: z = 3 a__isNatIListKind(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatKind(z) -{ 2 }-> a__U71(a__U71(a__isNatKind(V137))) :|: z = 1 + (1 + V137), V137 >= 0 a__isNatKind(z) -{ 2 }-> a__U71(a__U61(a__isNatIListKind(V136))) :|: z = 1 + (1 + V136), V136 >= 0 a__isNatKind(z) -{ 2 }-> a__U71(2) :|: z = 1 + 0 a__isNatKind(z) -{ 2 }-> a__U71(1 + V1) :|: z = 1 + V1, V1 >= 0 a__isNatKind(z) -{ 2 }-> a__U61(a__U51(a__isNatKind(V135), V213)) :|: V213 >= 0, V135 >= 0, z = 1 + (1 + V135 + V213) a__isNatKind(z) -{ 2 }-> a__U61(2) :|: z = 1 + 1 a__isNatKind(z) -{ 2 }-> a__U61(2) :|: z = 1 + 3 a__isNatKind(z) -{ 2 }-> a__U61(1 + V1) :|: z = 1 + V1, V1 >= 0 a__isNatKind(z) -{ 1 }-> 2 :|: z = 0 a__isNatKind(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatList(z) -{ 2 }-> a__U81(a__U71(a__isNatKind(V139)), 1 + V139, V2) :|: V139 >= 0, z = 1 + (1 + V139) + V2, V2 >= 0 a__isNatList(z) -{ 2 }-> a__U81(a__U61(a__isNatIListKind(V138)), 1 + V138, V2) :|: V138 >= 0, V2 >= 0, z = 1 + (1 + V138) + V2 a__isNatList(z) -{ 2 }-> a__U81(2, 0, V2) :|: V2 >= 0, z = 1 + 0 + V2 a__isNatList(z) -{ 2 }-> a__U81(1 + V1, V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatList(z) -{ 1 }-> 2 :|: z = 1 a__isNatList(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__length(z) -{ 2 }-> a__U91(a__U81(a__isNatKind(V140), V140, V214), 1 + V140 + V214, N) :|: V140 >= 0, z = 1 + N + (1 + V140 + V214), V214 >= 0, N >= 0 a__length(z) -{ 2 }-> a__U91(2, 1, N) :|: z = 1 + N + 1, N >= 0 a__length(z) -{ 2 }-> a__U91(1 + L, L, N) :|: z = 1 + N + L, L >= 0, N >= 0 a__length(z) -{ 1 }-> 0 :|: z = 1 a__length(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__zeros -{ 1 }-> 3 :|: a__zeros -{ 1 }-> 1 + 0 + 3 :|: mark(z) -{ 1 }-> a__zeros :|: z = 3 mark(z) -{ 1 }-> a__length(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatList(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatKind(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatIListKind(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatIList(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNat(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U94(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U93(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U92(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U91(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U86(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U85(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U84(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U83(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U82(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U81(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U71(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U61(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U52(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U51(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U46(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U45(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U44(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U43(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U42(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U41(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U33(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U32(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U31(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U23(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U22(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U21(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U13(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U12(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U11(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 2 :|: z = 2 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 ---------------------------------------- (27) InliningProof (UPPER BOUND(ID)) Inlined the following terminating rules on right-hand sides where appropriate: a__zeros -{ 1 }-> 3 :|: a__zeros -{ 1 }-> 1 + 0 + 3 :|: a__U13(z) -{ 1 }-> 2 :|: z = 2 a__U13(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U23(z) -{ 1 }-> 2 :|: z = 2 a__U23(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U33(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U33(z) -{ 1 }-> 2 :|: z = 2 a__U46(z) -{ 1 }-> 2 :|: z = 2 a__U46(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U52(z) -{ 1 }-> 2 :|: z = 2 a__U52(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U61(z) -{ 1 }-> 2 :|: z = 2 a__U61(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U71(z) -{ 1 }-> 2 :|: z = 2 a__U71(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U86(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U86(z) -{ 1 }-> 2 :|: z = 2 ---------------------------------------- (28) Obligation: Complexity RNTS consisting of the following rules: a__U11(z, z') -{ 2 }-> a__U12(a__U51(a__isNatKind(V1'), V2'), 1 + V1' + V2') :|: z = 2, z' = 1 + V1' + V2', V2' >= 0, V1' >= 0 a__U11(z, z') -{ 2 }-> a__U12(2, 3) :|: z = 2, z' = 3 a__U11(z, z') -{ 2 }-> a__U12(2, 1) :|: z = 2, z' = 1 a__U11(z, z') -{ 2 }-> a__U12(1 + V1, V1) :|: z = 2, V1 >= 0, z' = V1 a__U11(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U12(z, z') -{ 2 }-> a__U13(a__U81(a__isNatKind(V1''), V1'', V2'')) :|: z = 2, V1'' >= 0, V2'' >= 0, z' = 1 + V1'' + V2'' a__U12(z, z') -{ 3 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U12(z, z') -{ 3 }-> 2 :|: z = 2, V1 >= 0, z' = V1, 1 + V1 = 2 a__U12(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 1, X >= 0, 2 = X a__U12(z, z') -{ 3 }-> 1 + X :|: z = 2, V1 >= 0, z' = V1, X >= 0, 1 + V1 = X a__U12(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U13(z) -{ 1 }-> 2 :|: z = 2 a__U13(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U21(z, z') -{ 2 }-> a__U22(a__U71(a__isNatKind(V12)), 1 + V12) :|: z = 2, V12 >= 0, z' = 1 + V12 a__U21(z, z') -{ 2 }-> a__U22(a__U61(a__isNatIListKind(V11)), 1 + V11) :|: z = 2, V11 >= 0, z' = 1 + V11 a__U21(z, z') -{ 2 }-> a__U22(2, 0) :|: z = 2, z' = 0 a__U21(z, z') -{ 2 }-> a__U22(1 + V1, V1) :|: z = 2, V1 >= 0, z' = V1 a__U21(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U22(z, z') -{ 2 }-> a__U23(a__U21(a__isNatKind(V14), V14)) :|: z = 2, V14 >= 0, z' = 1 + V14 a__U22(z, z') -{ 2 }-> a__U23(a__U11(a__isNatIListKind(V13), V13)) :|: z = 2, V13 >= 0, z' = 1 + V13 a__U22(z, z') -{ 3 }-> 2 :|: z = 2, z' = 0, 2 = 2 a__U22(z, z') -{ 3 }-> 2 :|: z = 2, V1 >= 0, z' = V1, 1 + V1 = 2 a__U22(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 0, X >= 0, 2 = X a__U22(z, z') -{ 3 }-> 1 + X :|: z = 2, V1 >= 0, z' = V1, X >= 0, 1 + V1 = X a__U22(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U23(z) -{ 1 }-> 2 :|: z = 2 a__U23(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U31(z, z') -{ 2 }-> a__U32(a__U51(a__isNatKind(V15), V21), 1 + V15 + V21) :|: z = 2, z' = 1 + V15 + V21, V21 >= 0, V15 >= 0 a__U31(z, z') -{ 2 }-> a__U32(2, 3) :|: z = 2, z' = 3 a__U31(z, z') -{ 2 }-> a__U32(2, 1) :|: z = 2, z' = 1 a__U31(z, z') -{ 2 }-> a__U32(1 + V, V) :|: z = 2, z' = V, V >= 0 a__U31(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U32(z, z') -{ 2 }-> a__U33(a__U81(a__isNatKind(V16), V16, V22)) :|: z = 2, z' = 1 + V16 + V22, V22 >= 0, V16 >= 0 a__U32(z, z') -{ 3 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U32(z, z') -{ 3 }-> 2 :|: z = 2, z' = V, V >= 0, 1 + V = 2 a__U32(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 1, X >= 0, 2 = X a__U32(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = V, V >= 0, X >= 0, 1 + V = X a__U32(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U33(z) -{ 1 }-> 2 :|: z = 2 a__U33(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U41(z, z', z'') -{ 2 }-> a__U42(a__U71(a__isNatKind(V18)), 1 + V18, V2) :|: z = 2, V18 >= 0, z' = 1 + V18, V2 >= 0, z'' = V2 a__U41(z, z', z'') -{ 2 }-> a__U42(a__U61(a__isNatIListKind(V17)), 1 + V17, V2) :|: z = 2, z' = 1 + V17, V2 >= 0, V17 >= 0, z'' = V2 a__U41(z, z', z'') -{ 2 }-> a__U42(2, 0, V2) :|: z = 2, V2 >= 0, z'' = V2, z' = 0 a__U41(z, z', z'') -{ 2 }-> a__U42(1 + V1, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U41(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U42(z, z', z'') -{ 2 }-> a__U43(a__U51(a__isNatKind(V19), V23), V1, 1 + V19 + V23) :|: z = 2, V1 >= 0, z'' = 1 + V19 + V23, V19 >= 0, V23 >= 0, z' = V1 a__U42(z, z', z'') -{ 2 }-> a__U43(2, V1, 3) :|: z = 2, V1 >= 0, z'' = 3, z' = V1 a__U42(z, z', z'') -{ 2 }-> a__U43(2, V1, 1) :|: z = 2, V1 >= 0, z'' = 1, z' = V1 a__U42(z, z', z'') -{ 2 }-> a__U43(1 + V2, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U42(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U43(z, z', z'') -{ 2 }-> a__U44(a__U51(a__isNatKind(V110), V24), V1, 1 + V110 + V24) :|: z = 2, V110 >= 0, V24 >= 0, V1 >= 0, z'' = 1 + V110 + V24, z' = V1 a__U43(z, z', z'') -{ 2 }-> a__U44(2, V1, 3) :|: z = 2, V1 >= 0, z'' = 3, z' = V1 a__U43(z, z', z'') -{ 2 }-> a__U44(2, V1, 1) :|: z = 2, V1 >= 0, z'' = 1, z' = V1 a__U43(z, z', z'') -{ 2 }-> a__U44(1 + V2, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U43(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U44(z, z', z'') -{ 2 }-> a__U45(a__U21(a__isNatKind(V112), V112), V2) :|: z = 2, V2 >= 0, V112 >= 0, z' = 1 + V112, z'' = V2 a__U44(z, z', z'') -{ 2 }-> a__U45(a__U11(a__isNatIListKind(V111), V111), V2) :|: z = 2, V2 >= 0, z' = 1 + V111, V111 >= 0, z'' = V2 a__U44(z, z', z'') -{ 2 }-> a__U45(2, V2) :|: z = 2, V2 >= 0, z'' = V2, z' = 0 a__U44(z, z', z'') -{ 2 }-> a__U45(1 + V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U44(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U45(z, z') -{ 2 }-> a__U46(a__U41(a__isNatKind(V113), V113, V25)) :|: z = 2, z' = 1 + V113 + V25, V25 >= 0, V113 >= 0 a__U45(z, z') -{ 2 }-> a__U46(a__U31(a__isNatIListKind(V2), V2)) :|: z = 2, z' = V2, V2 >= 0 a__U45(z, z') -{ 3 }-> 2 :|: z = 2, z' = 3, 2 = 2 a__U45(z, z') -{ 3 }-> 2 :|: z = 2, z' = V2, V2 >= 0, 1 + V2 = 2 a__U45(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 3, X >= 0, 2 = X a__U45(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = V2, V2 >= 0, X >= 0, 1 + V2 = X a__U45(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U46(z) -{ 1 }-> 2 :|: z = 2 a__U46(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U51(z, z') -{ 2 }-> a__U52(a__U51(a__isNatKind(V114), V26)) :|: z = 2, z' = 1 + V114 + V26, V114 >= 0, V26 >= 0 a__U51(z, z') -{ 3 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U51(z, z') -{ 3 }-> 2 :|: z = 2, z' = 3, 2 = 2 a__U51(z, z') -{ 3 }-> 2 :|: z = 2, z' = V2, V2 >= 0, 1 + V2 = 2 a__U51(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 1, X >= 0, 2 = X a__U51(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 3, X >= 0, 2 = X a__U51(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = V2, V2 >= 0, X >= 0, 1 + V2 = X a__U51(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U52(z) -{ 1 }-> 2 :|: z = 2 a__U52(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U61(z) -{ 1 }-> 2 :|: z = 2 a__U61(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U71(z) -{ 1 }-> 2 :|: z = 2 a__U71(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U81(z, z', z'') -{ 2 }-> a__U82(a__U71(a__isNatKind(V116)), 1 + V116, V2) :|: z = 2, V2 >= 0, V116 >= 0, z'' = V2, z' = 1 + V116 a__U81(z, z', z'') -{ 2 }-> a__U82(a__U61(a__isNatIListKind(V115)), 1 + V115, V2) :|: z = 2, V2 >= 0, V115 >= 0, z' = 1 + V115, z'' = V2 a__U81(z, z', z'') -{ 2 }-> a__U82(2, 0, V2) :|: z = 2, V2 >= 0, z'' = V2, z' = 0 a__U81(z, z', z'') -{ 2 }-> a__U82(1 + V1, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U81(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U82(z, z', z'') -{ 2 }-> a__U83(a__U51(a__isNatKind(V117), V27), V1, 1 + V117 + V27) :|: z = 2, V1 >= 0, V117 >= 0, z'' = 1 + V117 + V27, V27 >= 0, z' = V1 a__U82(z, z', z'') -{ 2 }-> a__U83(2, V1, 3) :|: z = 2, V1 >= 0, z'' = 3, z' = V1 a__U82(z, z', z'') -{ 2 }-> a__U83(2, V1, 1) :|: z = 2, V1 >= 0, z'' = 1, z' = V1 a__U82(z, z', z'') -{ 2 }-> a__U83(1 + V2, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U82(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U83(z, z', z'') -{ 2 }-> a__U84(a__U51(a__isNatKind(V118), V28), V1, 1 + V118 + V28) :|: z = 2, V118 >= 0, V28 >= 0, V1 >= 0, z'' = 1 + V118 + V28, z' = V1 a__U83(z, z', z'') -{ 2 }-> a__U84(2, V1, 3) :|: z = 2, V1 >= 0, z'' = 3, z' = V1 a__U83(z, z', z'') -{ 2 }-> a__U84(2, V1, 1) :|: z = 2, V1 >= 0, z'' = 1, z' = V1 a__U83(z, z', z'') -{ 2 }-> a__U84(1 + V2, V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U83(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U84(z, z', z'') -{ 2 }-> a__U85(a__U21(a__isNatKind(V120), V120), V2) :|: z = 2, z' = 1 + V120, V120 >= 0, V2 >= 0, z'' = V2 a__U84(z, z', z'') -{ 2 }-> a__U85(a__U11(a__isNatIListKind(V119), V119), V2) :|: z = 2, z' = 1 + V119, V2 >= 0, V119 >= 0, z'' = V2 a__U84(z, z', z'') -{ 2 }-> a__U85(2, V2) :|: z = 2, V2 >= 0, z'' = V2, z' = 0 a__U84(z, z', z'') -{ 2 }-> a__U85(1 + V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U84(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U85(z, z') -{ 2 }-> a__U86(a__U81(a__isNatKind(V121), V121, V29)) :|: z = 2, V121 >= 0, V29 >= 0, z' = 1 + V121 + V29 a__U85(z, z') -{ 3 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U85(z, z') -{ 3 }-> 2 :|: z = 2, z' = V2, V2 >= 0, 1 + V2 = 2 a__U85(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 1, X >= 0, 2 = X a__U85(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = V2, V2 >= 0, X >= 0, 1 + V2 = X a__U85(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U86(z) -{ 1 }-> 2 :|: z = 2 a__U86(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U91(z, z', z'') -{ 2 }-> a__U92(a__U51(a__isNatKind(V122), V210), 1 + V122 + V210, N) :|: z = 2, V122 >= 0, V210 >= 0, z' = 1 + V122 + V210, z'' = N, N >= 0 a__U91(z, z', z'') -{ 2 }-> a__U92(2, 3, N) :|: z = 2, z' = 3, z'' = N, N >= 0 a__U91(z, z', z'') -{ 2 }-> a__U92(2, 1, N) :|: z = 2, z' = 1, z'' = N, N >= 0 a__U91(z, z', z'') -{ 2 }-> a__U92(1 + L, L, N) :|: z = 2, L >= 0, z'' = N, z' = L, N >= 0 a__U91(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U92(z, z', z'') -{ 2 }-> a__U93(a__U21(a__isNatKind(V124), V124), L, 1 + V124) :|: z = 2, V124 >= 0, z'' = 1 + V124, L >= 0, z' = L a__U92(z, z', z'') -{ 2 }-> a__U93(a__U11(a__isNatIListKind(V123), V123), L, 1 + V123) :|: z = 2, z'' = 1 + V123, L >= 0, z' = L, V123 >= 0 a__U92(z, z', z'') -{ 2 }-> a__U93(2, L, 0) :|: z = 2, z'' = 0, L >= 0, z' = L a__U92(z, z', z'') -{ 2 }-> a__U93(1 + N, L, N) :|: z = 2, L >= 0, z'' = N, z' = L, N >= 0 a__U92(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U93(z, z', z'') -{ 2 }-> a__U94(a__U71(a__isNatKind(V126)), L) :|: z = 2, z'' = 1 + V126, V126 >= 0, L >= 0, z' = L a__U93(z, z', z'') -{ 2 }-> a__U94(a__U61(a__isNatIListKind(V125)), L) :|: z = 2, V125 >= 0, z'' = 1 + V125, L >= 0, z' = L a__U93(z, z', z'') -{ 2 }-> a__U94(2, L) :|: z = 2, z'' = 0, L >= 0, z' = L a__U93(z, z', z'') -{ 2 }-> a__U94(1 + N, L) :|: z = 2, L >= 0, z'' = N, z' = L, N >= 0 a__U93(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U94(z, z') -{ 1 }-> 1 + a__length(mark(L)) :|: z = 2, L >= 0, z' = L a__U94(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__isNat(z) -{ 2 }-> a__U21(a__U71(a__isNatKind(V129)), 1 + V129) :|: V129 >= 0, z = 1 + (1 + V129) a__isNat(z) -{ 2 }-> a__U21(a__U61(a__isNatIListKind(V128)), 1 + V128) :|: V128 >= 0, z = 1 + (1 + V128) a__isNat(z) -{ 2 }-> a__U21(2, 0) :|: z = 1 + 0 a__isNat(z) -{ 2 }-> a__U21(1 + V1, V1) :|: z = 1 + V1, V1 >= 0 a__isNat(z) -{ 2 }-> a__U11(a__U51(a__isNatKind(V127), V211), 1 + V127 + V211) :|: z = 1 + (1 + V127 + V211), V127 >= 0, V211 >= 0 a__isNat(z) -{ 2 }-> a__U11(2, 3) :|: z = 1 + 3 a__isNat(z) -{ 2 }-> a__U11(2, 1) :|: z = 1 + 1 a__isNat(z) -{ 2 }-> a__U11(1 + V1, V1) :|: z = 1 + V1, V1 >= 0 a__isNat(z) -{ 1 }-> 2 :|: z = 0 a__isNat(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatIList(z) -{ 2 }-> a__U41(a__U71(a__isNatKind(V132)), 1 + V132, V2) :|: z = 1 + (1 + V132) + V2, V2 >= 0, V132 >= 0 a__isNatIList(z) -{ 2 }-> a__U41(a__U61(a__isNatIListKind(V131)), 1 + V131, V2) :|: V131 >= 0, V2 >= 0, z = 1 + (1 + V131) + V2 a__isNatIList(z) -{ 2 }-> a__U41(2, 0, V2) :|: V2 >= 0, z = 1 + 0 + V2 a__isNatIList(z) -{ 2 }-> a__U41(1 + V1, V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatIList(z) -{ 2 }-> a__U31(a__U51(a__isNatKind(V130), V212), 1 + V130 + V212) :|: V130 >= 0, z = 1 + V130 + V212, V212 >= 0 a__isNatIList(z) -{ 2 }-> a__U31(2, 3) :|: z = 3 a__isNatIList(z) -{ 2 }-> a__U31(2, 1) :|: z = 1 a__isNatIList(z) -{ 2 }-> a__U31(1 + V, V) :|: z = V, V >= 0 a__isNatIList(z) -{ 1 }-> 2 :|: z = 3 a__isNatIList(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatIListKind(z) -{ 2 }-> a__U51(a__U71(a__isNatKind(V134)), V2) :|: V2 >= 0, V134 >= 0, z = 1 + (1 + V134) + V2 a__isNatIListKind(z) -{ 2 }-> a__U51(a__U61(a__isNatIListKind(V133)), V2) :|: z = 1 + (1 + V133) + V2, V2 >= 0, V133 >= 0 a__isNatIListKind(z) -{ 2 }-> a__U51(2, V2) :|: V2 >= 0, z = 1 + 0 + V2 a__isNatIListKind(z) -{ 2 }-> a__U51(1 + V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatIListKind(z) -{ 1 }-> 2 :|: z = 1 a__isNatIListKind(z) -{ 1 }-> 2 :|: z = 3 a__isNatIListKind(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatKind(z) -{ 2 }-> a__U71(a__U71(a__isNatKind(V137))) :|: z = 1 + (1 + V137), V137 >= 0 a__isNatKind(z) -{ 2 }-> a__U71(a__U61(a__isNatIListKind(V136))) :|: z = 1 + (1 + V136), V136 >= 0 a__isNatKind(z) -{ 2 }-> a__U61(a__U51(a__isNatKind(V135), V213)) :|: V213 >= 0, V135 >= 0, z = 1 + (1 + V135 + V213) a__isNatKind(z) -{ 1 }-> 2 :|: z = 0 a__isNatKind(z) -{ 3 }-> 2 :|: z = 1 + 1, 2 = 2 a__isNatKind(z) -{ 3 }-> 2 :|: z = 1 + 3, 2 = 2 a__isNatKind(z) -{ 3 }-> 2 :|: z = 1 + V1, V1 >= 0, 1 + V1 = 2 a__isNatKind(z) -{ 3 }-> 2 :|: z = 1 + 0, 2 = 2 a__isNatKind(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatKind(z) -{ 3 }-> 1 + X :|: z = 1 + 1, X >= 0, 2 = X a__isNatKind(z) -{ 3 }-> 1 + X :|: z = 1 + 3, X >= 0, 2 = X a__isNatKind(z) -{ 3 }-> 1 + X :|: z = 1 + V1, V1 >= 0, X >= 0, 1 + V1 = X a__isNatKind(z) -{ 3 }-> 1 + X :|: z = 1 + 0, X >= 0, 2 = X a__isNatList(z) -{ 2 }-> a__U81(a__U71(a__isNatKind(V139)), 1 + V139, V2) :|: V139 >= 0, z = 1 + (1 + V139) + V2, V2 >= 0 a__isNatList(z) -{ 2 }-> a__U81(a__U61(a__isNatIListKind(V138)), 1 + V138, V2) :|: V138 >= 0, V2 >= 0, z = 1 + (1 + V138) + V2 a__isNatList(z) -{ 2 }-> a__U81(2, 0, V2) :|: V2 >= 0, z = 1 + 0 + V2 a__isNatList(z) -{ 2 }-> a__U81(1 + V1, V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatList(z) -{ 1 }-> 2 :|: z = 1 a__isNatList(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__length(z) -{ 2 }-> a__U91(a__U81(a__isNatKind(V140), V140, V214), 1 + V140 + V214, N) :|: V140 >= 0, z = 1 + N + (1 + V140 + V214), V214 >= 0, N >= 0 a__length(z) -{ 2 }-> a__U91(2, 1, N) :|: z = 1 + N + 1, N >= 0 a__length(z) -{ 2 }-> a__U91(1 + L, L, N) :|: z = 1 + N + L, L >= 0, N >= 0 a__length(z) -{ 1 }-> 0 :|: z = 1 a__length(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__zeros -{ 1 }-> 3 :|: a__zeros -{ 1 }-> 1 + 0 + 3 :|: mark(z) -{ 1 }-> a__length(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatList(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatKind(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatIListKind(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatIList(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNat(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U94(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U93(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U92(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U91(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U86(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U85(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U84(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U83(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U82(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U81(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U71(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U61(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U52(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U51(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U46(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U45(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U44(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U43(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U42(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U41(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U33(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U32(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U31(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U23(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U22(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U21(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U13(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U12(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U11(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> 3 :|: z = 3 mark(z) -{ 1 }-> 2 :|: z = 2 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> 1 + 0 + 3 :|: z = 3 ---------------------------------------- (29) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (30) Obligation: Complexity RNTS consisting of the following rules: a__U11(z, z') -{ 2 }-> a__U12(a__U51(a__isNatKind(V1'), V2'), 1 + V1' + V2') :|: z = 2, z' = 1 + V1' + V2', V2' >= 0, V1' >= 0 a__U11(z, z') -{ 2 }-> a__U12(2, 3) :|: z = 2, z' = 3 a__U11(z, z') -{ 2 }-> a__U12(2, 1) :|: z = 2, z' = 1 a__U11(z, z') -{ 2 }-> a__U12(1 + z', z') :|: z = 2, z' >= 0 a__U11(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__U12(z, z') -{ 2 }-> a__U13(a__U81(a__isNatKind(V1''), V1'', V2'')) :|: z = 2, V1'' >= 0, V2'' >= 0, z' = 1 + V1'' + V2'' a__U12(z, z') -{ 3 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U12(z, z') -{ 3 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U12(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 1, X >= 0, 2 = X a__U12(z, z') -{ 3 }-> 1 + X :|: z = 2, z' >= 0, X >= 0, 1 + z' = X a__U12(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__U13(z) -{ 1 }-> 2 :|: z = 2 a__U13(z) -{ 1 }-> 1 + z :|: z >= 0 a__U21(z, z') -{ 2 }-> a__U22(a__U71(a__isNatKind(z' - 1)), 1 + (z' - 1)) :|: z = 2, z' - 1 >= 0 a__U21(z, z') -{ 2 }-> a__U22(a__U61(a__isNatIListKind(z' - 1)), 1 + (z' - 1)) :|: z = 2, z' - 1 >= 0 a__U21(z, z') -{ 2 }-> a__U22(2, 0) :|: z = 2, z' = 0 a__U21(z, z') -{ 2 }-> a__U22(1 + z', z') :|: z = 2, z' >= 0 a__U21(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__U22(z, z') -{ 2 }-> a__U23(a__U21(a__isNatKind(z' - 1), z' - 1)) :|: z = 2, z' - 1 >= 0 a__U22(z, z') -{ 2 }-> a__U23(a__U11(a__isNatIListKind(z' - 1), z' - 1)) :|: z = 2, z' - 1 >= 0 a__U22(z, z') -{ 3 }-> 2 :|: z = 2, z' = 0, 2 = 2 a__U22(z, z') -{ 3 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U22(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 0, X >= 0, 2 = X a__U22(z, z') -{ 3 }-> 1 + X :|: z = 2, z' >= 0, X >= 0, 1 + z' = X a__U22(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__U23(z) -{ 1 }-> 2 :|: z = 2 a__U23(z) -{ 1 }-> 1 + z :|: z >= 0 a__U31(z, z') -{ 2 }-> a__U32(a__U51(a__isNatKind(V15), V21), 1 + V15 + V21) :|: z = 2, z' = 1 + V15 + V21, V21 >= 0, V15 >= 0 a__U31(z, z') -{ 2 }-> a__U32(2, 3) :|: z = 2, z' = 3 a__U31(z, z') -{ 2 }-> a__U32(2, 1) :|: z = 2, z' = 1 a__U31(z, z') -{ 2 }-> a__U32(1 + z', z') :|: z = 2, z' >= 0 a__U31(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__U32(z, z') -{ 2 }-> a__U33(a__U81(a__isNatKind(V16), V16, V22)) :|: z = 2, z' = 1 + V16 + V22, V22 >= 0, V16 >= 0 a__U32(z, z') -{ 3 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U32(z, z') -{ 3 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U32(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 1, X >= 0, 2 = X a__U32(z, z') -{ 3 }-> 1 + X :|: z = 2, z' >= 0, X >= 0, 1 + z' = X a__U32(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__U33(z) -{ 1 }-> 2 :|: z = 2 a__U33(z) -{ 1 }-> 1 + z :|: z >= 0 a__U41(z, z', z'') -{ 2 }-> a__U42(a__U71(a__isNatKind(z' - 1)), 1 + (z' - 1), z'') :|: z = 2, z' - 1 >= 0, z'' >= 0 a__U41(z, z', z'') -{ 2 }-> a__U42(a__U61(a__isNatIListKind(z' - 1)), 1 + (z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U41(z, z', z'') -{ 2 }-> a__U42(2, 0, z'') :|: z = 2, z'' >= 0, z' = 0 a__U41(z, z', z'') -{ 2 }-> a__U42(1 + z', z', z'') :|: z = 2, z' >= 0, z'' >= 0 a__U41(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U42(z, z', z'') -{ 2 }-> a__U43(a__U51(a__isNatKind(V19), V23), z', 1 + V19 + V23) :|: z = 2, z' >= 0, z'' = 1 + V19 + V23, V19 >= 0, V23 >= 0 a__U42(z, z', z'') -{ 2 }-> a__U43(2, z', 3) :|: z = 2, z' >= 0, z'' = 3 a__U42(z, z', z'') -{ 2 }-> a__U43(2, z', 1) :|: z = 2, z' >= 0, z'' = 1 a__U42(z, z', z'') -{ 2 }-> a__U43(1 + z'', z', z'') :|: z = 2, z' >= 0, z'' >= 0 a__U42(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U43(z, z', z'') -{ 2 }-> a__U44(a__U51(a__isNatKind(V110), V24), z', 1 + V110 + V24) :|: z = 2, V110 >= 0, V24 >= 0, z' >= 0, z'' = 1 + V110 + V24 a__U43(z, z', z'') -{ 2 }-> a__U44(2, z', 3) :|: z = 2, z' >= 0, z'' = 3 a__U43(z, z', z'') -{ 2 }-> a__U44(2, z', 1) :|: z = 2, z' >= 0, z'' = 1 a__U43(z, z', z'') -{ 2 }-> a__U44(1 + z'', z', z'') :|: z = 2, z' >= 0, z'' >= 0 a__U43(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U44(z, z', z'') -{ 2 }-> a__U45(a__U21(a__isNatKind(z' - 1), z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U44(z, z', z'') -{ 2 }-> a__U45(a__U11(a__isNatIListKind(z' - 1), z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U44(z, z', z'') -{ 2 }-> a__U45(2, z'') :|: z = 2, z'' >= 0, z' = 0 a__U44(z, z', z'') -{ 2 }-> a__U45(1 + z', z'') :|: z = 2, z' >= 0, z'' >= 0 a__U44(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U45(z, z') -{ 2 }-> a__U46(a__U41(a__isNatKind(V113), V113, V25)) :|: z = 2, z' = 1 + V113 + V25, V25 >= 0, V113 >= 0 a__U45(z, z') -{ 2 }-> a__U46(a__U31(a__isNatIListKind(z'), z')) :|: z = 2, z' >= 0 a__U45(z, z') -{ 3 }-> 2 :|: z = 2, z' = 3, 2 = 2 a__U45(z, z') -{ 3 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U45(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 3, X >= 0, 2 = X a__U45(z, z') -{ 3 }-> 1 + X :|: z = 2, z' >= 0, X >= 0, 1 + z' = X a__U45(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__U46(z) -{ 1 }-> 2 :|: z = 2 a__U46(z) -{ 1 }-> 1 + z :|: z >= 0 a__U51(z, z') -{ 2 }-> a__U52(a__U51(a__isNatKind(V114), V26)) :|: z = 2, z' = 1 + V114 + V26, V114 >= 0, V26 >= 0 a__U51(z, z') -{ 3 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U51(z, z') -{ 3 }-> 2 :|: z = 2, z' = 3, 2 = 2 a__U51(z, z') -{ 3 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U51(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 1, X >= 0, 2 = X a__U51(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 3, X >= 0, 2 = X a__U51(z, z') -{ 3 }-> 1 + X :|: z = 2, z' >= 0, X >= 0, 1 + z' = X a__U51(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__U52(z) -{ 1 }-> 2 :|: z = 2 a__U52(z) -{ 1 }-> 1 + z :|: z >= 0 a__U61(z) -{ 1 }-> 2 :|: z = 2 a__U61(z) -{ 1 }-> 1 + z :|: z >= 0 a__U71(z) -{ 1 }-> 2 :|: z = 2 a__U71(z) -{ 1 }-> 1 + z :|: z >= 0 a__U81(z, z', z'') -{ 2 }-> a__U82(a__U71(a__isNatKind(z' - 1)), 1 + (z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U81(z, z', z'') -{ 2 }-> a__U82(a__U61(a__isNatIListKind(z' - 1)), 1 + (z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U81(z, z', z'') -{ 2 }-> a__U82(2, 0, z'') :|: z = 2, z'' >= 0, z' = 0 a__U81(z, z', z'') -{ 2 }-> a__U82(1 + z', z', z'') :|: z = 2, z' >= 0, z'' >= 0 a__U81(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U82(z, z', z'') -{ 2 }-> a__U83(a__U51(a__isNatKind(V117), V27), z', 1 + V117 + V27) :|: z = 2, z' >= 0, V117 >= 0, z'' = 1 + V117 + V27, V27 >= 0 a__U82(z, z', z'') -{ 2 }-> a__U83(2, z', 3) :|: z = 2, z' >= 0, z'' = 3 a__U82(z, z', z'') -{ 2 }-> a__U83(2, z', 1) :|: z = 2, z' >= 0, z'' = 1 a__U82(z, z', z'') -{ 2 }-> a__U83(1 + z'', z', z'') :|: z = 2, z' >= 0, z'' >= 0 a__U82(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U83(z, z', z'') -{ 2 }-> a__U84(a__U51(a__isNatKind(V118), V28), z', 1 + V118 + V28) :|: z = 2, V118 >= 0, V28 >= 0, z' >= 0, z'' = 1 + V118 + V28 a__U83(z, z', z'') -{ 2 }-> a__U84(2, z', 3) :|: z = 2, z' >= 0, z'' = 3 a__U83(z, z', z'') -{ 2 }-> a__U84(2, z', 1) :|: z = 2, z' >= 0, z'' = 1 a__U83(z, z', z'') -{ 2 }-> a__U84(1 + z'', z', z'') :|: z = 2, z' >= 0, z'' >= 0 a__U83(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U84(z, z', z'') -{ 2 }-> a__U85(a__U21(a__isNatKind(z' - 1), z' - 1), z'') :|: z = 2, z' - 1 >= 0, z'' >= 0 a__U84(z, z', z'') -{ 2 }-> a__U85(a__U11(a__isNatIListKind(z' - 1), z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U84(z, z', z'') -{ 2 }-> a__U85(2, z'') :|: z = 2, z'' >= 0, z' = 0 a__U84(z, z', z'') -{ 2 }-> a__U85(1 + z', z'') :|: z = 2, z' >= 0, z'' >= 0 a__U84(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U85(z, z') -{ 2 }-> a__U86(a__U81(a__isNatKind(V121), V121, V29)) :|: z = 2, V121 >= 0, V29 >= 0, z' = 1 + V121 + V29 a__U85(z, z') -{ 3 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U85(z, z') -{ 3 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U85(z, z') -{ 3 }-> 1 + X :|: z = 2, z' = 1, X >= 0, 2 = X a__U85(z, z') -{ 3 }-> 1 + X :|: z = 2, z' >= 0, X >= 0, 1 + z' = X a__U85(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__U86(z) -{ 1 }-> 2 :|: z = 2 a__U86(z) -{ 1 }-> 1 + z :|: z >= 0 a__U91(z, z', z'') -{ 2 }-> a__U92(a__U51(a__isNatKind(V122), V210), 1 + V122 + V210, z'') :|: z = 2, V122 >= 0, V210 >= 0, z' = 1 + V122 + V210, z'' >= 0 a__U91(z, z', z'') -{ 2 }-> a__U92(2, 3, z'') :|: z = 2, z' = 3, z'' >= 0 a__U91(z, z', z'') -{ 2 }-> a__U92(2, 1, z'') :|: z = 2, z' = 1, z'' >= 0 a__U91(z, z', z'') -{ 2 }-> a__U92(1 + z', z', z'') :|: z = 2, z' >= 0, z'' >= 0 a__U91(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U92(z, z', z'') -{ 2 }-> a__U93(a__U21(a__isNatKind(z'' - 1), z'' - 1), z', 1 + (z'' - 1)) :|: z = 2, z'' - 1 >= 0, z' >= 0 a__U92(z, z', z'') -{ 2 }-> a__U93(a__U11(a__isNatIListKind(z'' - 1), z'' - 1), z', 1 + (z'' - 1)) :|: z = 2, z' >= 0, z'' - 1 >= 0 a__U92(z, z', z'') -{ 2 }-> a__U93(2, z', 0) :|: z = 2, z'' = 0, z' >= 0 a__U92(z, z', z'') -{ 2 }-> a__U93(1 + z'', z', z'') :|: z = 2, z' >= 0, z'' >= 0 a__U92(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U93(z, z', z'') -{ 2 }-> a__U94(a__U71(a__isNatKind(z'' - 1)), z') :|: z = 2, z'' - 1 >= 0, z' >= 0 a__U93(z, z', z'') -{ 2 }-> a__U94(a__U61(a__isNatIListKind(z'' - 1)), z') :|: z = 2, z'' - 1 >= 0, z' >= 0 a__U93(z, z', z'') -{ 2 }-> a__U94(2, z') :|: z = 2, z'' = 0, z' >= 0 a__U93(z, z', z'') -{ 2 }-> a__U94(1 + z'', z') :|: z = 2, z' >= 0, z'' >= 0 a__U93(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U94(z, z') -{ 1 }-> 1 + a__length(mark(z')) :|: z = 2, z' >= 0 a__U94(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__isNat(z) -{ 2 }-> a__U21(a__U71(a__isNatKind(z - 2)), 1 + (z - 2)) :|: z - 2 >= 0 a__isNat(z) -{ 2 }-> a__U21(a__U61(a__isNatIListKind(z - 2)), 1 + (z - 2)) :|: z - 2 >= 0 a__isNat(z) -{ 2 }-> a__U21(2, 0) :|: z = 1 + 0 a__isNat(z) -{ 2 }-> a__U21(1 + (z - 1), z - 1) :|: z - 1 >= 0 a__isNat(z) -{ 2 }-> a__U11(a__U51(a__isNatKind(V127), V211), 1 + V127 + V211) :|: z = 1 + (1 + V127 + V211), V127 >= 0, V211 >= 0 a__isNat(z) -{ 2 }-> a__U11(2, 3) :|: z = 1 + 3 a__isNat(z) -{ 2 }-> a__U11(2, 1) :|: z = 1 + 1 a__isNat(z) -{ 2 }-> a__U11(1 + (z - 1), z - 1) :|: z - 1 >= 0 a__isNat(z) -{ 1 }-> 2 :|: z = 0 a__isNat(z) -{ 1 }-> 1 + z :|: z >= 0 a__isNatIList(z) -{ 2 }-> a__U41(a__U71(a__isNatKind(V132)), 1 + V132, V2) :|: z = 1 + (1 + V132) + V2, V2 >= 0, V132 >= 0 a__isNatIList(z) -{ 2 }-> a__U41(a__U61(a__isNatIListKind(V131)), 1 + V131, V2) :|: V131 >= 0, V2 >= 0, z = 1 + (1 + V131) + V2 a__isNatIList(z) -{ 2 }-> a__U41(2, 0, z - 1) :|: z - 1 >= 0 a__isNatIList(z) -{ 2 }-> a__U41(1 + V1, V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatIList(z) -{ 2 }-> a__U31(a__U51(a__isNatKind(V130), V212), 1 + V130 + V212) :|: V130 >= 0, z = 1 + V130 + V212, V212 >= 0 a__isNatIList(z) -{ 2 }-> a__U31(2, 3) :|: z = 3 a__isNatIList(z) -{ 2 }-> a__U31(2, 1) :|: z = 1 a__isNatIList(z) -{ 2 }-> a__U31(1 + z, z) :|: z >= 0 a__isNatIList(z) -{ 1 }-> 2 :|: z = 3 a__isNatIList(z) -{ 1 }-> 1 + z :|: z >= 0 a__isNatIListKind(z) -{ 2 }-> a__U51(a__U71(a__isNatKind(V134)), V2) :|: V2 >= 0, V134 >= 0, z = 1 + (1 + V134) + V2 a__isNatIListKind(z) -{ 2 }-> a__U51(a__U61(a__isNatIListKind(V133)), V2) :|: z = 1 + (1 + V133) + V2, V2 >= 0, V133 >= 0 a__isNatIListKind(z) -{ 2 }-> a__U51(2, z - 1) :|: z - 1 >= 0 a__isNatIListKind(z) -{ 2 }-> a__U51(1 + V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatIListKind(z) -{ 1 }-> 2 :|: z = 1 a__isNatIListKind(z) -{ 1 }-> 2 :|: z = 3 a__isNatIListKind(z) -{ 1 }-> 1 + z :|: z >= 0 a__isNatKind(z) -{ 2 }-> a__U71(a__U71(a__isNatKind(z - 2))) :|: z - 2 >= 0 a__isNatKind(z) -{ 2 }-> a__U71(a__U61(a__isNatIListKind(z - 2))) :|: z - 2 >= 0 a__isNatKind(z) -{ 2 }-> a__U61(a__U51(a__isNatKind(V135), V213)) :|: V213 >= 0, V135 >= 0, z = 1 + (1 + V135 + V213) a__isNatKind(z) -{ 1 }-> 2 :|: z = 0 a__isNatKind(z) -{ 3 }-> 2 :|: z = 1 + 1, 2 = 2 a__isNatKind(z) -{ 3 }-> 2 :|: z = 1 + 3, 2 = 2 a__isNatKind(z) -{ 3 }-> 2 :|: z - 1 >= 0, 1 + (z - 1) = 2 a__isNatKind(z) -{ 3 }-> 2 :|: z = 1 + 0, 2 = 2 a__isNatKind(z) -{ 3 }-> 1 + X :|: z = 1 + 1, X >= 0, 2 = X a__isNatKind(z) -{ 3 }-> 1 + X :|: z = 1 + 3, X >= 0, 2 = X a__isNatKind(z) -{ 3 }-> 1 + X :|: z - 1 >= 0, X >= 0, 1 + (z - 1) = X a__isNatKind(z) -{ 3 }-> 1 + X :|: z = 1 + 0, X >= 0, 2 = X a__isNatKind(z) -{ 1 }-> 1 + z :|: z >= 0 a__isNatList(z) -{ 2 }-> a__U81(a__U71(a__isNatKind(V139)), 1 + V139, V2) :|: V139 >= 0, z = 1 + (1 + V139) + V2, V2 >= 0 a__isNatList(z) -{ 2 }-> a__U81(a__U61(a__isNatIListKind(V138)), 1 + V138, V2) :|: V138 >= 0, V2 >= 0, z = 1 + (1 + V138) + V2 a__isNatList(z) -{ 2 }-> a__U81(2, 0, z - 1) :|: z - 1 >= 0 a__isNatList(z) -{ 2 }-> a__U81(1 + V1, V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatList(z) -{ 1 }-> 2 :|: z = 1 a__isNatList(z) -{ 1 }-> 1 + z :|: z >= 0 a__length(z) -{ 2 }-> a__U91(a__U81(a__isNatKind(V140), V140, V214), 1 + V140 + V214, N) :|: V140 >= 0, z = 1 + N + (1 + V140 + V214), V214 >= 0, N >= 0 a__length(z) -{ 2 }-> a__U91(2, 1, z - 2) :|: z - 2 >= 0 a__length(z) -{ 2 }-> a__U91(1 + L, L, N) :|: z = 1 + N + L, L >= 0, N >= 0 a__length(z) -{ 1 }-> 0 :|: z = 1 a__length(z) -{ 1 }-> 1 + z :|: z >= 0 a__zeros -{ 1 }-> 3 :|: a__zeros -{ 1 }-> 1 + 0 + 3 :|: mark(z) -{ 1 }-> a__length(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__isNatList(z - 1) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__isNatKind(z - 1) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__isNatIListKind(z - 1) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__isNatIList(z - 1) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__isNat(z - 1) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__U94(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U93(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U92(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U91(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U86(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__U85(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U84(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U83(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U82(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U81(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U71(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__U61(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__U52(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__U51(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U46(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__U45(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U44(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U43(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U42(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U41(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U33(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__U32(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U31(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U23(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__U22(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U21(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U13(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 1 }-> a__U12(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U11(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> 3 :|: z = 3 mark(z) -{ 1 }-> 2 :|: z = 2 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(z - 1) :|: z - 1 >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> 1 + 0 + 3 :|: z = 3 ---------------------------------------- (31) 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 ---------------------------------------- (32) 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__zeros -> cons(0, zeros) [1] a__U11(tt, V1) -> a__U12(a__isNatIListKind(V1), V1) [1] a__U12(tt, V1) -> a__U13(a__isNatList(V1)) [1] a__U13(tt) -> tt [1] a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) [1] a__U22(tt, V1) -> a__U23(a__isNat(V1)) [1] a__U23(tt) -> tt [1] a__U31(tt, V) -> a__U32(a__isNatIListKind(V), V) [1] a__U32(tt, V) -> a__U33(a__isNatList(V)) [1] a__U33(tt) -> tt [1] a__U41(tt, V1, V2) -> a__U42(a__isNatKind(V1), V1, V2) [1] a__U42(tt, V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2) [1] a__U43(tt, V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2) [1] a__U44(tt, V1, V2) -> a__U45(a__isNat(V1), V2) [1] a__U45(tt, V2) -> a__U46(a__isNatIList(V2)) [1] a__U46(tt) -> tt [1] a__U51(tt, V2) -> a__U52(a__isNatIListKind(V2)) [1] a__U52(tt) -> tt [1] a__U61(tt) -> tt [1] a__U71(tt) -> tt [1] a__U81(tt, V1, V2) -> a__U82(a__isNatKind(V1), V1, V2) [1] a__U82(tt, V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2) [1] a__U83(tt, V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2) [1] a__U84(tt, V1, V2) -> a__U85(a__isNat(V1), V2) [1] a__U85(tt, V2) -> a__U86(a__isNatList(V2)) [1] a__U86(tt) -> tt [1] a__U91(tt, L, N) -> a__U92(a__isNatIListKind(L), L, N) [1] a__U92(tt, L, N) -> a__U93(a__isNat(N), L, N) [1] a__U93(tt, L, N) -> a__U94(a__isNatKind(N), L) [1] a__U94(tt, L) -> s(a__length(mark(L))) [1] a__isNat(0) -> tt [1] a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) [1] a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) [1] a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) [1] a__isNatIList(zeros) -> tt [1] a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2) [1] a__isNatIListKind(nil) -> tt [1] a__isNatIListKind(zeros) -> tt [1] a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2) [1] a__isNatKind(0) -> tt [1] a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1)) [1] a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1)) [1] a__isNatList(nil) -> tt [1] a__isNatList(cons(V1, V2)) -> a__U81(a__isNatKind(V1), V1, V2) [1] a__length(nil) -> 0 [1] a__length(cons(N, L)) -> a__U91(a__isNatList(L), L, N) [1] mark(zeros) -> a__zeros [1] mark(U11(X1, X2)) -> a__U11(mark(X1), X2) [1] mark(U12(X1, X2)) -> a__U12(mark(X1), X2) [1] mark(isNatIListKind(X)) -> a__isNatIListKind(X) [1] mark(U13(X)) -> a__U13(mark(X)) [1] mark(isNatList(X)) -> a__isNatList(X) [1] mark(U21(X1, X2)) -> a__U21(mark(X1), X2) [1] mark(U22(X1, X2)) -> a__U22(mark(X1), X2) [1] mark(isNatKind(X)) -> a__isNatKind(X) [1] mark(U23(X)) -> a__U23(mark(X)) [1] mark(isNat(X)) -> a__isNat(X) [1] mark(U31(X1, X2)) -> a__U31(mark(X1), X2) [1] mark(U32(X1, X2)) -> a__U32(mark(X1), X2) [1] mark(U33(X)) -> a__U33(mark(X)) [1] mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) [1] mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3) [1] mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3) [1] mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3) [1] mark(U45(X1, X2)) -> a__U45(mark(X1), X2) [1] mark(U46(X)) -> a__U46(mark(X)) [1] mark(isNatIList(X)) -> a__isNatIList(X) [1] mark(U51(X1, X2)) -> a__U51(mark(X1), X2) [1] mark(U52(X)) -> a__U52(mark(X)) [1] mark(U61(X)) -> a__U61(mark(X)) [1] mark(U71(X)) -> a__U71(mark(X)) [1] mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3) [1] mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3) [1] mark(U83(X1, X2, X3)) -> a__U83(mark(X1), X2, X3) [1] mark(U84(X1, X2, X3)) -> a__U84(mark(X1), X2, X3) [1] mark(U85(X1, X2)) -> a__U85(mark(X1), X2) [1] mark(U86(X)) -> a__U86(mark(X)) [1] mark(U91(X1, X2, X3)) -> a__U91(mark(X1), X2, X3) [1] mark(U92(X1, X2, X3)) -> a__U92(mark(X1), X2, X3) [1] mark(U93(X1, X2, X3)) -> a__U93(mark(X1), X2, X3) [1] mark(U94(X1, X2)) -> a__U94(mark(X1), X2) [1] mark(length(X)) -> a__length(mark(X)) [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(0) -> 0 [1] mark(tt) -> tt [1] mark(s(X)) -> s(mark(X)) [1] mark(nil) -> nil [1] a__zeros -> zeros [1] a__U11(X1, X2) -> U11(X1, X2) [1] a__U12(X1, X2) -> U12(X1, X2) [1] a__isNatIListKind(X) -> isNatIListKind(X) [1] a__U13(X) -> U13(X) [1] a__isNatList(X) -> isNatList(X) [1] a__U21(X1, X2) -> U21(X1, X2) [1] a__U22(X1, X2) -> U22(X1, X2) [1] a__isNatKind(X) -> isNatKind(X) [1] a__U23(X) -> U23(X) [1] a__isNat(X) -> isNat(X) [1] a__U31(X1, X2) -> U31(X1, X2) [1] a__U32(X1, X2) -> U32(X1, X2) [1] a__U33(X) -> U33(X) [1] a__U41(X1, X2, X3) -> U41(X1, X2, X3) [1] a__U42(X1, X2, X3) -> U42(X1, X2, X3) [1] a__U43(X1, X2, X3) -> U43(X1, X2, X3) [1] a__U44(X1, X2, X3) -> U44(X1, X2, X3) [1] a__U45(X1, X2) -> U45(X1, X2) [1] a__U46(X) -> U46(X) [1] a__isNatIList(X) -> isNatIList(X) [1] a__U51(X1, X2) -> U51(X1, X2) [1] a__U52(X) -> U52(X) [1] a__U61(X) -> U61(X) [1] a__U71(X) -> U71(X) [1] a__U81(X1, X2, X3) -> U81(X1, X2, X3) [1] a__U82(X1, X2, X3) -> U82(X1, X2, X3) [1] a__U83(X1, X2, X3) -> U83(X1, X2, X3) [1] a__U84(X1, X2, X3) -> U84(X1, X2, X3) [1] a__U85(X1, X2) -> U85(X1, X2) [1] a__U86(X) -> U86(X) [1] a__U91(X1, X2, X3) -> U91(X1, X2, X3) [1] a__U92(X1, X2, X3) -> U92(X1, X2, X3) [1] a__U93(X1, X2, X3) -> U93(X1, X2, X3) [1] a__U94(X1, X2) -> U94(X1, X2) [1] a__length(X) -> length(X) [1] The TRS has the following type information: a__zeros :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 cons :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 0 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 zeros :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U11 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 tt :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U12 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatIListKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U13 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatList :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U21 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U22 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNatKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U23 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__isNat :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U31 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U32 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U33 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U41 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U42 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 a__U43 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 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a__length :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 mark :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 length :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 nil :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U11 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U12 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatIListKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U13 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatList :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U21 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U22 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatKind :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U23 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNat :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U31 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U32 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U33 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U41 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U42 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U43 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U44 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U45 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U46 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 isNatIList :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U51 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U52 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U61 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U71 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U81 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U82 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U83 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U84 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U85 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U86 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U91 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U92 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U93 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 U94 :: 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 -> 0:zeros:cons:tt:s:length:nil:U11:U12:isNatIListKind:U13:isNatList:U21:U22:isNatKind:U23:isNat:U31:U32:U33:U41:U42:U43:U44:U45:U46:isNatIList:U51:U52:U61:U71:U81:U82:U83:U84:U85:U86:U91:U92:U93:U94 Rewrite Strategy: INNERMOST ---------------------------------------- (33) 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 zeros => 3 tt => 2 nil => 1 ---------------------------------------- (34) Obligation: Complexity RNTS consisting of the following rules: a__U11(z, z') -{ 1 }-> a__U12(a__isNatIListKind(V1), V1) :|: z = 2, V1 >= 0, z' = V1 a__U11(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U12(z, z') -{ 1 }-> a__U13(a__isNatList(V1)) :|: z = 2, V1 >= 0, z' = V1 a__U12(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U13(z) -{ 1 }-> 2 :|: z = 2 a__U13(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U21(z, z') -{ 1 }-> a__U22(a__isNatKind(V1), V1) :|: z = 2, V1 >= 0, z' = V1 a__U21(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U22(z, z') -{ 1 }-> a__U23(a__isNat(V1)) :|: z = 2, V1 >= 0, z' = V1 a__U22(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U23(z) -{ 1 }-> 2 :|: z = 2 a__U23(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U31(z, z') -{ 1 }-> a__U32(a__isNatIListKind(V), V) :|: z = 2, z' = V, V >= 0 a__U31(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U32(z, z') -{ 1 }-> a__U33(a__isNatList(V)) :|: z = 2, z' = V, V >= 0 a__U32(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U33(z) -{ 1 }-> 2 :|: z = 2 a__U33(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U41(z, z', z'') -{ 1 }-> a__U42(a__isNatKind(V1), V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U41(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U42(z, z', z'') -{ 1 }-> a__U43(a__isNatIListKind(V2), V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U42(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U43(z, z', z'') -{ 1 }-> a__U44(a__isNatIListKind(V2), V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U43(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U44(z, z', z'') -{ 1 }-> a__U45(a__isNat(V1), V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U44(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U45(z, z') -{ 1 }-> a__U46(a__isNatIList(V2)) :|: z = 2, z' = V2, V2 >= 0 a__U45(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U46(z) -{ 1 }-> 2 :|: z = 2 a__U46(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U51(z, z') -{ 1 }-> a__U52(a__isNatIListKind(V2)) :|: z = 2, z' = V2, V2 >= 0 a__U51(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U52(z) -{ 1 }-> 2 :|: z = 2 a__U52(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U61(z) -{ 1 }-> 2 :|: z = 2 a__U61(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U71(z) -{ 1 }-> 2 :|: z = 2 a__U71(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U81(z, z', z'') -{ 1 }-> a__U82(a__isNatKind(V1), V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U81(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U82(z, z', z'') -{ 1 }-> a__U83(a__isNatIListKind(V2), V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U82(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U83(z, z', z'') -{ 1 }-> a__U84(a__isNatIListKind(V2), V1, V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U83(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U84(z, z', z'') -{ 1 }-> a__U85(a__isNat(V1), V2) :|: z = 2, V1 >= 0, V2 >= 0, z'' = V2, z' = V1 a__U84(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U85(z, z') -{ 1 }-> a__U86(a__isNatList(V2)) :|: z = 2, z' = V2, V2 >= 0 a__U85(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__U86(z) -{ 1 }-> 2 :|: z = 2 a__U86(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__U91(z, z', z'') -{ 1 }-> a__U92(a__isNatIListKind(L), L, N) :|: z = 2, L >= 0, z'' = N, z' = L, N >= 0 a__U91(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U92(z, z', z'') -{ 1 }-> a__U93(a__isNat(N), L, N) :|: z = 2, L >= 0, z'' = N, z' = L, N >= 0 a__U92(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U93(z, z', z'') -{ 1 }-> a__U94(a__isNatKind(N), L) :|: z = 2, L >= 0, z'' = N, z' = L, N >= 0 a__U93(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U94(z, z') -{ 1 }-> 1 + a__length(mark(L)) :|: z = 2, L >= 0, z' = L a__U94(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__isNat(z) -{ 1 }-> a__U21(a__isNatKind(V1), V1) :|: z = 1 + V1, V1 >= 0 a__isNat(z) -{ 1 }-> a__U11(a__isNatIListKind(V1), V1) :|: z = 1 + V1, V1 >= 0 a__isNat(z) -{ 1 }-> 2 :|: z = 0 a__isNat(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatIList(z) -{ 1 }-> a__U41(a__isNatKind(V1), V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatIList(z) -{ 1 }-> a__U31(a__isNatIListKind(V), V) :|: z = V, V >= 0 a__isNatIList(z) -{ 1 }-> 2 :|: z = 3 a__isNatIList(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatIListKind(z) -{ 1 }-> a__U51(a__isNatKind(V1), V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatIListKind(z) -{ 1 }-> 2 :|: z = 1 a__isNatIListKind(z) -{ 1 }-> 2 :|: z = 3 a__isNatIListKind(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatKind(z) -{ 1 }-> a__U71(a__isNatKind(V1)) :|: z = 1 + V1, V1 >= 0 a__isNatKind(z) -{ 1 }-> a__U61(a__isNatIListKind(V1)) :|: z = 1 + V1, V1 >= 0 a__isNatKind(z) -{ 1 }-> 2 :|: z = 0 a__isNatKind(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__isNatList(z) -{ 1 }-> a__U81(a__isNatKind(V1), V1, V2) :|: V1 >= 0, V2 >= 0, z = 1 + V1 + V2 a__isNatList(z) -{ 1 }-> 2 :|: z = 1 a__isNatList(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__length(z) -{ 1 }-> a__U91(a__isNatList(L), L, N) :|: z = 1 + N + L, L >= 0, N >= 0 a__length(z) -{ 1 }-> 0 :|: z = 1 a__length(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__zeros -{ 1 }-> 3 :|: a__zeros -{ 1 }-> 1 + 0 + 3 :|: mark(z) -{ 1 }-> a__zeros :|: z = 3 mark(z) -{ 1 }-> a__length(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatList(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatKind(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatIListKind(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNatIList(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__isNat(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U94(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U93(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U92(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U91(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U86(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U85(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U84(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U83(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U82(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U81(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U71(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U61(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U52(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U51(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U46(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U45(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U44(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U43(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U42(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U41(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U33(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U32(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U31(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U23(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U22(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U21(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U13(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__U12(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U11(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 2 :|: z = 2 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (35) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (36) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ZEROS -> c A__ZEROS -> c1 A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U11(z0, z1) -> c3 A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U12(z0, z1) -> c5 A__U13(tt) -> c6 A__U13(z0) -> c7 A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U21(z0, z1) -> c9 A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U22(z0, z1) -> c11 A__U23(tt) -> c12 A__U23(z0) -> c13 A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U31(z0, z1) -> c15 A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U32(z0, z1) -> c17 A__U33(tt) -> c18 A__U33(z0) -> c19 A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U41(z0, z1, z2) -> c21 A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U42(z0, z1, z2) -> c23 A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(z0, z1, z2) -> c25 A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U44(z0, z1, z2) -> c27 A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U45(z0, z1) -> c29 A__U46(tt) -> c30 A__U46(z0) -> c31 A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U51(z0, z1) -> c33 A__U52(tt) -> c34 A__U52(z0) -> c35 A__U61(tt) -> c36 A__U61(z0) -> c37 A__U71(tt) -> c38 A__U71(z0) -> c39 A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U81(z0, z1, z2) -> c41 A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U82(z0, z1, z2) -> c43 A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(z0, z1, z2) -> c45 A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U84(z0, z1, z2) -> c47 A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U85(z0, z1) -> c49 A__U86(tt) -> c50 A__U86(z0) -> c51 A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U91(z0, z1, z2) -> c53 A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U92(z0, z1, z2) -> c55 A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U93(z0, z1, z2) -> c57 A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__U94(z0, z1) -> c59 A__ISNAT(0) -> c60 A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNAT(z0) -> c63 A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(zeros) -> c65 A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c67 A__ISNATILISTKIND(nil) -> c68 A__ISNATILISTKIND(zeros) -> c69 A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(z0) -> c71 A__ISNATKIND(0) -> c72 A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATKIND(z0) -> c75 A__ISNATLIST(nil) -> c76 A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATLIST(z0) -> c78 A__LENGTH(nil) -> c79 A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) A__LENGTH(z0) -> c81 MARK(zeros) -> c82(A__ZEROS) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(0) -> c119 MARK(tt) -> c120 MARK(s(z0)) -> c121(MARK(z0)) MARK(nil) -> c122 S tuples: A__ZEROS -> c A__ZEROS -> c1 A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U11(z0, z1) -> c3 A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U12(z0, z1) -> c5 A__U13(tt) -> c6 A__U13(z0) -> c7 A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U21(z0, z1) -> c9 A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U22(z0, z1) -> c11 A__U23(tt) -> c12 A__U23(z0) -> c13 A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U31(z0, z1) -> c15 A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U32(z0, z1) -> c17 A__U33(tt) -> c18 A__U33(z0) -> c19 A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U41(z0, z1, z2) -> c21 A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U42(z0, z1, z2) -> c23 A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(z0, z1, z2) -> c25 A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U44(z0, z1, z2) -> c27 A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U45(z0, z1) -> c29 A__U46(tt) -> c30 A__U46(z0) -> c31 A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U51(z0, z1) -> c33 A__U52(tt) -> c34 A__U52(z0) -> c35 A__U61(tt) -> c36 A__U61(z0) -> c37 A__U71(tt) -> c38 A__U71(z0) -> c39 A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U81(z0, z1, z2) -> c41 A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U82(z0, z1, z2) -> c43 A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(z0, z1, z2) -> c45 A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U84(z0, z1, z2) -> c47 A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U85(z0, z1) -> c49 A__U86(tt) -> c50 A__U86(z0) -> c51 A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U91(z0, z1, z2) -> c53 A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U92(z0, z1, z2) -> c55 A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U93(z0, z1, z2) -> c57 A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__U94(z0, z1) -> c59 A__ISNAT(0) -> c60 A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNAT(z0) -> c63 A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(zeros) -> c65 A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c67 A__ISNATILISTKIND(nil) -> c68 A__ISNATILISTKIND(zeros) -> c69 A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(z0) -> c71 A__ISNATKIND(0) -> c72 A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATKIND(z0) -> c75 A__ISNATLIST(nil) -> c76 A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATLIST(z0) -> c78 A__LENGTH(nil) -> c79 A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) A__LENGTH(z0) -> c81 MARK(zeros) -> c82(A__ZEROS) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(0) -> c119 MARK(tt) -> c120 MARK(s(z0)) -> c121(MARK(z0)) MARK(nil) -> c122 K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ZEROS, A__U11_2, A__U12_2, A__U13_1, A__U21_2, A__U22_2, A__U23_1, A__U31_2, A__U32_2, A__U33_1, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U45_2, A__U46_1, A__U51_2, A__U52_1, A__U61_1, A__U71_1, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U85_2, A__U86_1, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1 Compound Symbols: c, c1, c2_2, c3, c4_2, c5, c6, c7, c8_2, c9, c10_2, c11, c12, c13, c14_2, c15, c16_2, c17, c18, c19, c20_2, c21, c22_2, c23, c24_2, c25, c26_2, c27, c28_2, c29, c30, c31, c32_2, c33, c34, c35, c36, c37, c38, c39, c40_2, c41, c42_2, c43, c44_2, c45, c46_2, c47, c48_2, c49, c50, c51, c52_2, c53, c54_2, c55, c56_2, c57, c58_2, c59, c60, c61_2, c62_2, c63, c64_2, c65, c66_2, c67, c68, c69, c70_2, c71, c72, c73_2, c74_2, c75, c76, c77_2, c78, c79, c80_2, c81, c82_1, c83_2, c84_2, c85_1, c86_2, c87_1, c88_2, c89_2, c90_1, c91_2, c92_1, c93_2, c94_2, c95_2, c96_2, c97_2, c98_2, c99_2, c100_2, c101_2, c102_1, c103_2, c104_2, c105_2, c106_2, c107_2, c108_2, c109_2, c110_2, c111_2, c112_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c119, c120, c121_1, c122 ---------------------------------------- (37) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 56 trailing nodes: A__ISNAT(0) -> c60 A__U31(z0, z1) -> c15 A__U94(z0, z1) -> c59 A__U46(z0) -> c31 A__U46(tt) -> c30 A__U71(z0) -> c39 A__U51(z0, z1) -> c33 A__U52(z0) -> c35 A__U41(z0, z1, z2) -> c21 A__U23(z0) -> c13 A__ISNATILIST(z0) -> c67 MARK(tt) -> c120 A__U33(tt) -> c18 A__ZEROS -> c1 MARK(0) -> c119 A__ISNATILISTKIND(nil) -> c68 A__U12(z0, z1) -> c5 A__U71(tt) -> c38 A__U93(z0, z1, z2) -> c57 A__U22(z0, z1) -> c11 A__ZEROS -> c A__LENGTH(nil) -> c79 A__U82(z0, z1, z2) -> c43 A__U85(z0, z1) -> c49 A__U21(z0, z1) -> c9 A__U11(z0, z1) -> c3 A__U32(z0, z1) -> c17 A__U43(z0, z1, z2) -> c25 A__LENGTH(z0) -> c81 MARK(zeros) -> c82(A__ZEROS) A__U86(tt) -> c50 A__U92(z0, z1, z2) -> c55 A__U61(tt) -> c36 A__U52(tt) -> c34 A__U33(z0) -> c19 A__ISNATLIST(nil) -> c76 A__U91(z0, z1, z2) -> c53 A__U44(z0, z1, z2) -> c27 A__ISNATILISTKIND(zeros) -> c69 A__U23(tt) -> c12 A__ISNATILISTKIND(z0) -> c71 A__ISNATKIND(0) -> c72 A__U61(z0) -> c37 A__U42(z0, z1, z2) -> c23 A__ISNATLIST(z0) -> c78 A__ISNATKIND(z0) -> c75 MARK(nil) -> c122 A__U13(z0) -> c7 A__U13(tt) -> c6 A__ISNAT(z0) -> c63 A__ISNATILIST(zeros) -> c65 A__U86(z0) -> c51 A__U45(z0, z1) -> c29 A__U84(z0, z1, z2) -> c47 A__U83(z0, z1, z2) -> c45 A__U81(z0, z1, z2) -> c41 ---------------------------------------- (38) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) S tuples: A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U12(tt, z0) -> c4(A__U13(a__isNatList(z0)), A__ISNATLIST(z0)) A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U22(tt, z0) -> c10(A__U23(a__isNat(z0)), A__ISNAT(z0)) A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U32(tt, z0) -> c16(A__U33(a__isNatList(z0)), A__ISNATLIST(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U45(tt, z0) -> c28(A__U46(a__isNatIList(z0)), A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__U52(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U85(tt, z0) -> c48(A__U86(a__isNatList(z0)), A__ISNATLIST(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATKIND(length(z0)) -> c73(A__U61(a__isNatIListKind(z0)), A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__U71(a__isNatKind(z0)), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(U13(z0)) -> c86(A__U13(mark(z0)), MARK(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(U23(z0)) -> c91(A__U23(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c95(A__U33(mark(z0)), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(U46(z0)) -> c101(A__U46(mark(z0)), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U52(z0)) -> c104(A__U52(mark(z0)), MARK(z0)) MARK(U61(z0)) -> c105(A__U61(mark(z0)), MARK(z0)) MARK(U71(z0)) -> c106(A__U71(mark(z0)), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U86(z0)) -> c112(A__U86(mark(z0)), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U11_2, A__U12_2, A__U21_2, A__U22_2, A__U31_2, A__U32_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U45_2, A__U51_2, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U85_2, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1 Compound Symbols: c2_2, c4_2, c8_2, c10_2, c14_2, c16_2, c20_2, c22_2, c24_2, c26_2, c28_2, c32_2, c40_2, c42_2, c44_2, c46_2, c48_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c64_2, c66_2, c70_2, c73_2, c74_2, c77_2, c80_2, c83_2, c84_2, c85_1, c86_2, c87_1, c88_2, c89_2, c90_1, c91_2, c92_1, c93_2, c94_2, c95_2, c96_2, c97_2, c98_2, c99_2, c100_2, c101_2, c102_1, c103_2, c104_2, c105_2, c106_2, c107_2, c108_2, c109_2, c110_2, c111_2, c112_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1 ---------------------------------------- (39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 16 trailing tuple parts ---------------------------------------- (40) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) S tuples: A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U31(tt, z0) -> c14(A__U32(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(z0) -> c64(A__U31(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U11_2, A__U21_2, A__U31_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1 Compound Symbols: c2_2, c8_2, c14_2, c20_2, c22_2, c24_2, c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c64_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1 ---------------------------------------- (41) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (42) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) S tuples: A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2 Compound Symbols: c2_2, c8_2, c20_2, c22_2, c24_2, c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1 ---------------------------------------- (43) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (44) 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__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) The (relative) TRS S consists of the following rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Rewrite Strategy: INNERMOST ---------------------------------------- (45) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (46) 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__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (47) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (48) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) [1] A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) [1] A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) [1] A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) [1] A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) [1] A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) [1] A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) [1] A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) [1] A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) [1] A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) [1] A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) [1] A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) [1] MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) [1] MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) [1] MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) [1] MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) [1] MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) [1] MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) [1] MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) [1] MARK(isNat(z0)) -> c92(A__ISNAT(z0)) [1] MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) [1] MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) [1] MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) [1] MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) [1] MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) [1] MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) [1] MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) [1] MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) [1] MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) [1] MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) [1] MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) [1] MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) [1] MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) [1] MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) [1] MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) [1] MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) [1] MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) [1] MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) [1] MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) [1] MARK(cons(z0, z1)) -> c118(MARK(z0)) [1] MARK(s(z0)) -> c121(MARK(z0)) [1] A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) [1] A__U22(tt, z0) -> c10(A__ISNAT(z0)) [1] A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) [1] A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) [1] A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) [1] A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) [1] A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) [1] A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) [1] MARK(U13(z0)) -> c86(MARK(z0)) [1] MARK(U23(z0)) -> c91(MARK(z0)) [1] MARK(U33(z0)) -> c95(MARK(z0)) [1] MARK(U46(z0)) -> c101(MARK(z0)) [1] MARK(U52(z0)) -> c104(MARK(z0)) [1] MARK(U61(z0)) -> c105(MARK(z0)) [1] MARK(U71(z0)) -> c106(MARK(z0)) [1] MARK(U86(z0)) -> c112(MARK(z0)) [1] A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) [1] A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) [1] A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) [1] A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) [1] a__zeros -> cons(0, zeros) [0] a__zeros -> zeros [0] a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) [0] a__U11(z0, z1) -> U11(z0, z1) [0] a__U12(tt, z0) -> a__U13(a__isNatList(z0)) [0] a__U12(z0, z1) -> U12(z0, z1) [0] a__U13(tt) -> tt [0] a__U13(z0) -> U13(z0) [0] a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) [0] a__U21(z0, z1) -> U21(z0, z1) [0] a__U22(tt, z0) -> a__U23(a__isNat(z0)) [0] a__U22(z0, z1) -> U22(z0, z1) [0] a__U23(tt) -> tt [0] a__U23(z0) -> U23(z0) [0] a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) [0] a__U31(z0, z1) -> U31(z0, z1) [0] a__U32(tt, z0) -> a__U33(a__isNatList(z0)) [0] a__U32(z0, z1) -> U32(z0, z1) [0] a__U33(tt) -> tt [0] a__U33(z0) -> U33(z0) [0] a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) [0] a__U41(z0, z1, z2) -> U41(z0, z1, z2) [0] a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) [0] a__U42(z0, z1, z2) -> U42(z0, z1, z2) [0] a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) [0] a__U43(z0, z1, z2) -> U43(z0, z1, z2) [0] a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) [0] a__U44(z0, z1, z2) -> U44(z0, z1, z2) [0] a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) [0] a__U45(z0, z1) -> U45(z0, z1) [0] a__U46(tt) -> tt [0] a__U46(z0) -> U46(z0) [0] a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) [0] a__U51(z0, z1) -> U51(z0, z1) [0] a__U52(tt) -> tt [0] a__U52(z0) -> U52(z0) [0] a__U61(tt) -> tt [0] a__U61(z0) -> U61(z0) [0] a__U71(tt) -> tt [0] a__U71(z0) -> U71(z0) [0] a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) [0] a__U81(z0, z1, z2) -> U81(z0, z1, z2) [0] a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) [0] a__U82(z0, z1, z2) -> U82(z0, z1, z2) [0] a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) [0] a__U83(z0, z1, z2) -> U83(z0, z1, z2) [0] a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) [0] a__U84(z0, z1, z2) -> U84(z0, z1, z2) [0] a__U85(tt, z0) -> a__U86(a__isNatList(z0)) [0] a__U85(z0, z1) -> U85(z0, z1) [0] a__U86(tt) -> tt [0] a__U86(z0) -> U86(z0) [0] a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) [0] a__U91(z0, z1, z2) -> U91(z0, z1, z2) [0] a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) [0] a__U92(z0, z1, z2) -> U92(z0, z1, z2) [0] a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) [0] a__U93(z0, z1, z2) -> U93(z0, z1, z2) [0] a__U94(tt, z0) -> s(a__length(mark(z0))) [0] a__U94(z0, z1) -> U94(z0, z1) [0] a__isNat(0) -> tt [0] a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) [0] a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) [0] a__isNat(z0) -> isNat(z0) [0] a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) [0] a__isNatIList(zeros) -> tt [0] a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) [0] a__isNatIList(z0) -> isNatIList(z0) [0] a__isNatIListKind(nil) -> tt [0] a__isNatIListKind(zeros) -> tt [0] a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) [0] a__isNatIListKind(z0) -> isNatIListKind(z0) [0] a__isNatKind(0) -> tt [0] a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) [0] a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) [0] a__isNatKind(z0) -> isNatKind(z0) [0] a__isNatList(nil) -> tt [0] a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) [0] a__isNatList(z0) -> isNatList(z0) [0] a__length(nil) -> 0 [0] a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) [0] a__length(z0) -> length(z0) [0] mark(zeros) -> a__zeros [0] mark(U11(z0, z1)) -> a__U11(mark(z0), z1) [0] mark(U12(z0, z1)) -> a__U12(mark(z0), z1) [0] mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) [0] mark(U13(z0)) -> a__U13(mark(z0)) [0] mark(isNatList(z0)) -> a__isNatList(z0) [0] mark(U21(z0, z1)) -> a__U21(mark(z0), z1) [0] mark(U22(z0, z1)) -> a__U22(mark(z0), z1) [0] mark(isNatKind(z0)) -> a__isNatKind(z0) [0] mark(U23(z0)) -> a__U23(mark(z0)) [0] mark(isNat(z0)) -> a__isNat(z0) [0] mark(U31(z0, z1)) -> a__U31(mark(z0), z1) [0] mark(U32(z0, z1)) -> a__U32(mark(z0), z1) [0] mark(U33(z0)) -> a__U33(mark(z0)) [0] mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) [0] mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) [0] mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) [0] mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) [0] mark(U45(z0, z1)) -> a__U45(mark(z0), z1) [0] mark(U46(z0)) -> a__U46(mark(z0)) [0] mark(isNatIList(z0)) -> a__isNatIList(z0) [0] mark(U51(z0, z1)) -> a__U51(mark(z0), z1) [0] mark(U52(z0)) -> a__U52(mark(z0)) [0] mark(U61(z0)) -> a__U61(mark(z0)) [0] mark(U71(z0)) -> a__U71(mark(z0)) [0] mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) [0] mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) [0] mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) [0] mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) [0] mark(U85(z0, z1)) -> a__U85(mark(z0), z1) [0] mark(U86(z0)) -> a__U86(mark(z0)) [0] mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) [0] mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) [0] mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) [0] mark(U94(z0, z1)) -> a__U94(mark(z0), z1) [0] mark(length(z0)) -> a__length(mark(z0)) [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(0) -> 0 [0] mark(tt) -> tt [0] mark(s(z0)) -> s(mark(z0)) [0] mark(nil) -> nil [0] Rewrite Strategy: INNERMOST ---------------------------------------- (49) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (50) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) [1] A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) [1] A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) [1] A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) [1] A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) [1] A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) [1] A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) [1] A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) [1] A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) [1] A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) [1] A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) [1] A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) [1] MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) [1] MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) [1] MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) [1] MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) [1] MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) [1] MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) [1] MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) [1] MARK(isNat(z0)) -> c92(A__ISNAT(z0)) [1] MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) [1] MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) [1] MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) [1] MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) [1] MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) [1] MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) [1] MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) [1] MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) [1] MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) [1] MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) [1] MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) [1] MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) [1] MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) [1] MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) [1] MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) [1] MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) [1] MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) [1] MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) [1] MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) [1] MARK(cons(z0, z1)) -> c118(MARK(z0)) [1] MARK(s(z0)) -> c121(MARK(z0)) [1] A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) [1] A__U22(tt, z0) -> c10(A__ISNAT(z0)) [1] A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) [1] A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) [1] A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) [1] A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) [1] A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) [1] A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) [1] MARK(U13(z0)) -> c86(MARK(z0)) [1] MARK(U23(z0)) -> c91(MARK(z0)) [1] MARK(U33(z0)) -> c95(MARK(z0)) [1] MARK(U46(z0)) -> c101(MARK(z0)) [1] MARK(U52(z0)) -> c104(MARK(z0)) [1] MARK(U61(z0)) -> c105(MARK(z0)) [1] MARK(U71(z0)) -> c106(MARK(z0)) [1] MARK(U86(z0)) -> c112(MARK(z0)) [1] A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) [1] A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) [1] A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) [1] A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) [1] a__zeros -> cons(0, zeros) [0] a__zeros -> zeros [0] a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) [0] a__U11(z0, z1) -> U11(z0, z1) [0] a__U12(tt, z0) -> a__U13(a__isNatList(z0)) [0] a__U12(z0, z1) -> U12(z0, z1) [0] a__U13(tt) -> tt [0] a__U13(z0) -> U13(z0) [0] a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) [0] a__U21(z0, z1) -> U21(z0, z1) [0] a__U22(tt, z0) -> a__U23(a__isNat(z0)) [0] a__U22(z0, z1) -> U22(z0, z1) [0] a__U23(tt) -> tt [0] a__U23(z0) -> U23(z0) [0] a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) [0] a__U31(z0, z1) -> U31(z0, z1) [0] a__U32(tt, z0) -> a__U33(a__isNatList(z0)) [0] a__U32(z0, z1) -> U32(z0, z1) [0] a__U33(tt) -> tt [0] a__U33(z0) -> U33(z0) [0] a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) [0] a__U41(z0, z1, z2) -> U41(z0, z1, z2) [0] a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) [0] a__U42(z0, z1, z2) -> U42(z0, z1, z2) [0] a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) [0] a__U43(z0, z1, z2) -> U43(z0, z1, z2) [0] a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) [0] a__U44(z0, z1, z2) -> U44(z0, z1, z2) [0] a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) [0] a__U45(z0, z1) -> U45(z0, z1) [0] a__U46(tt) -> tt [0] a__U46(z0) -> U46(z0) [0] a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) [0] a__U51(z0, z1) -> U51(z0, z1) [0] a__U52(tt) -> tt [0] a__U52(z0) -> U52(z0) [0] a__U61(tt) -> tt [0] a__U61(z0) -> U61(z0) [0] a__U71(tt) -> tt [0] a__U71(z0) -> U71(z0) [0] a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) [0] a__U81(z0, z1, z2) -> U81(z0, z1, z2) [0] a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) [0] a__U82(z0, z1, z2) -> U82(z0, z1, z2) [0] a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) [0] a__U83(z0, z1, z2) -> U83(z0, z1, z2) [0] a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) [0] a__U84(z0, z1, z2) -> U84(z0, z1, z2) [0] a__U85(tt, z0) -> a__U86(a__isNatList(z0)) [0] a__U85(z0, z1) -> U85(z0, z1) [0] a__U86(tt) -> tt [0] a__U86(z0) -> U86(z0) [0] a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) [0] a__U91(z0, z1, z2) -> U91(z0, z1, z2) [0] a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) [0] a__U92(z0, z1, z2) -> U92(z0, z1, z2) [0] a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) [0] a__U93(z0, z1, z2) -> U93(z0, z1, z2) [0] a__U94(tt, z0) -> s(a__length(mark(z0))) [0] a__U94(z0, z1) -> U94(z0, z1) [0] a__isNat(0) -> tt [0] a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) [0] a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) [0] a__isNat(z0) -> isNat(z0) [0] a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) [0] a__isNatIList(zeros) -> tt [0] a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) [0] a__isNatIList(z0) -> isNatIList(z0) [0] a__isNatIListKind(nil) -> tt [0] a__isNatIListKind(zeros) -> tt [0] a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) [0] a__isNatIListKind(z0) -> isNatIListKind(z0) [0] a__isNatKind(0) -> tt [0] a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) [0] a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) [0] a__isNatKind(z0) -> isNatKind(z0) [0] a__isNatList(nil) -> tt [0] a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) [0] a__isNatList(z0) -> isNatList(z0) [0] a__length(nil) -> 0 [0] a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) [0] a__length(z0) -> length(z0) [0] mark(zeros) -> a__zeros [0] mark(U11(z0, z1)) -> a__U11(mark(z0), z1) [0] mark(U12(z0, z1)) -> a__U12(mark(z0), z1) [0] mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) [0] mark(U13(z0)) -> a__U13(mark(z0)) [0] mark(isNatList(z0)) -> a__isNatList(z0) [0] mark(U21(z0, z1)) -> a__U21(mark(z0), z1) [0] mark(U22(z0, z1)) -> a__U22(mark(z0), z1) [0] mark(isNatKind(z0)) -> a__isNatKind(z0) [0] mark(U23(z0)) -> a__U23(mark(z0)) [0] mark(isNat(z0)) -> a__isNat(z0) [0] mark(U31(z0, z1)) -> a__U31(mark(z0), z1) [0] mark(U32(z0, z1)) -> a__U32(mark(z0), z1) [0] mark(U33(z0)) -> a__U33(mark(z0)) [0] mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) [0] mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) [0] mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) [0] mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) [0] mark(U45(z0, z1)) -> a__U45(mark(z0), z1) [0] mark(U46(z0)) -> a__U46(mark(z0)) [0] mark(isNatIList(z0)) -> a__isNatIList(z0) [0] mark(U51(z0, z1)) -> a__U51(mark(z0), z1) [0] mark(U52(z0)) -> a__U52(mark(z0)) [0] mark(U61(z0)) -> a__U61(mark(z0)) [0] mark(U71(z0)) -> a__U71(mark(z0)) [0] mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) [0] mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) [0] mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) [0] mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) [0] mark(U85(z0, z1)) -> a__U85(mark(z0), z1) [0] mark(U86(z0)) -> a__U86(mark(z0)) [0] mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) [0] mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) [0] mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) [0] mark(U94(z0, z1)) -> a__U94(mark(z0), z1) [0] mark(length(z0)) -> a__length(mark(z0)) [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(0) -> 0 [0] mark(tt) -> tt [0] mark(s(z0)) -> s(mark(z0)) [0] mark(nil) -> nil [0] The TRS has the following type information: A__U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c2 tt :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c2 :: c4 -> c66:c70:c16:c -> c2 A__U12 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c4 a__isNatIListKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil A__ISNATILISTKIND :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c66:c70:c16:c A__U21 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c8 c8 :: c10 -> c73:c74 -> c8 A__U22 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c10 a__isNatKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil A__ISNATKIND :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c73:c74 A__U41 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c20 c20 :: c22 -> c73:c74 -> c20 A__U42 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c22 c22 :: c24 -> c66:c70:c16:c -> c22 A__U43 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c24 c24 :: c26 -> c66:c70:c16:c -> c24 A__U44 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c26 c26 :: c28 -> c61:c62 -> c26 A__U45 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c28 a__isNat :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil A__ISNAT :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c61:c62 A__U81 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c40 c40 :: c42 -> c73:c74 -> c40 A__U82 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c42 c42 :: c44 -> c66:c70:c16:c -> c42 A__U83 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c44 c44 :: c46 -> c66:c70:c16:c -> c44 A__U84 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c46 c46 :: c48 -> c61:c62 -> c46 A__U85 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c48 A__U91 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c52 c52 :: c54 -> c66:c70:c16:c -> c52 A__U92 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c54 c54 :: c56 -> c61:c62 -> c54 A__U93 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c56 c56 :: c58 -> c73:c74 -> c56 A__U94 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c58 c58 :: c80 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c58 A__LENGTH :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c80 mark :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil MARK :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 length :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c61 :: c2 -> c66:c70:c16:c -> c61:c62 s :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c62 :: c8 -> c73:c74 -> c61:c62 A__ISNATILIST :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c66:c70:c16:c cons :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c66 :: c20 -> c73:c74 -> c66:c70:c16:c c70 :: c32 -> c73:c74 -> c66:c70:c16:c A__U51 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c32 A__ISNATLIST :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c77 c77 :: c40 -> c73:c74 -> c77 c80 :: c52 -> c77 -> c80 a__isNatList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c83 :: c2 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U12 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c84 :: c4 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatIListKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c85 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c87 :: c77 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U21 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c88 :: c8 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U22 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c89 :: c10 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c90 :: c73:c74 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNat :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c92 :: c61:c62 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U31 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c93 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 A__U31 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c66:c70:c16:c U32 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c94 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 A__U32 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> c66:c70:c16:c U41 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c96 :: c20 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U42 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c97 :: c22 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U43 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c98 :: c24 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U44 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c99 :: c26 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U45 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c100 :: c28 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatIList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c102 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U51 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c103 :: c32 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U81 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c107 :: c40 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U82 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c108 :: c42 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U83 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c109 :: c44 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U84 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c110 :: c46 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U85 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c111 :: c48 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U91 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c113 :: c52 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U92 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c114 :: c54 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U93 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c115 :: c56 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U94 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c116 :: c58 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c117 :: c80 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c118 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c121 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c4 :: c77 -> c4 c10 :: c61:c62 -> c10 c16 :: c77 -> c66:c70:c16:c c28 :: c66:c70:c16:c -> c28 c32 :: c66:c70:c16:c -> c32 c48 :: c77 -> c48 c73 :: c66:c70:c16:c -> c73:c74 c74 :: c73:c74 -> c73:c74 U13 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c86 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U23 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c91 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U33 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c95 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U46 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c101 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U52 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c104 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U61 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c105 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U71 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c106 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U86 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil c112 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c :: c66:c70:c16:c -> c66:c70:c16:c a__zeros :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil 0 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil zeros :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil a__U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil a__U12 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil a__U85 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil a__U86 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil a__U91 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil a__U92 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil a__U93 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil a__U94 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil a__length :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil nil :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil Rewrite Strategy: INNERMOST ---------------------------------------- (51) 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__U11_2 A__U21_2 A__U41_3 A__U42_3 A__U43_3 A__U44_3 A__U81_3 A__U82_3 A__U83_3 A__U84_3 A__U91_3 A__U92_3 A__U93_3 A__U94_2 A__ISNAT_1 A__ISNATILIST_1 A__ISNATILISTKIND_1 A__ISNATLIST_1 A__LENGTH_1 MARK_1 A__U12_2 A__U22_2 A__U32_2 A__U45_2 A__U51_2 A__U85_2 A__ISNATKIND_1 A__U31_2 (c) The following functions are completely defined: a__zeros a__U11_2 a__U12_2 a__U13_1 a__U21_2 a__U22_2 a__U23_1 a__U31_2 a__U32_2 a__U33_1 a__U41_3 a__U42_3 a__U43_3 a__U44_3 a__U45_2 a__U46_1 a__U51_2 a__U52_1 a__U61_1 a__U71_1 a__U81_3 a__U82_3 a__U83_3 a__U84_3 a__U85_2 a__U86_1 a__U91_3 a__U92_3 a__U93_3 a__U94_2 a__isNat_1 a__isNatIList_1 a__isNatIListKind_1 a__isNatKind_1 a__isNatList_1 a__length_1 mark_1 Due to the following rules being added: a__zeros -> null_a__zeros [0] a__U11(v0, v1) -> null_a__U11 [0] a__U12(v0, v1) -> null_a__U12 [0] a__U13(v0) -> null_a__U13 [0] a__U21(v0, v1) -> null_a__U21 [0] a__U22(v0, v1) -> null_a__U22 [0] a__U23(v0) -> null_a__U23 [0] a__U31(v0, v1) -> null_a__U31 [0] a__U32(v0, v1) -> null_a__U32 [0] a__U33(v0) -> null_a__U33 [0] a__U41(v0, v1, v2) -> null_a__U41 [0] a__U42(v0, v1, v2) -> null_a__U42 [0] a__U43(v0, v1, v2) -> null_a__U43 [0] a__U44(v0, v1, v2) -> null_a__U44 [0] a__U45(v0, v1) -> null_a__U45 [0] a__U46(v0) -> null_a__U46 [0] a__U51(v0, v1) -> null_a__U51 [0] a__U52(v0) -> null_a__U52 [0] a__U61(v0) -> null_a__U61 [0] a__U71(v0) -> null_a__U71 [0] a__U81(v0, v1, v2) -> null_a__U81 [0] a__U82(v0, v1, v2) -> null_a__U82 [0] a__U83(v0, v1, v2) -> null_a__U83 [0] a__U84(v0, v1, v2) -> null_a__U84 [0] a__U85(v0, v1) -> null_a__U85 [0] a__U86(v0) -> null_a__U86 [0] a__U91(v0, v1, v2) -> null_a__U91 [0] a__U92(v0, v1, v2) -> null_a__U92 [0] a__U93(v0, v1, v2) -> null_a__U93 [0] a__U94(v0, v1) -> null_a__U94 [0] a__isNat(v0) -> null_a__isNat [0] a__isNatIList(v0) -> null_a__isNatIList [0] a__isNatIListKind(v0) -> null_a__isNatIListKind [0] a__isNatKind(v0) -> null_a__isNatKind [0] a__isNatList(v0) -> null_a__isNatList [0] a__length(v0) -> null_a__length [0] mark(v0) -> null_mark [0] And the following fresh constants: null_a__zeros, null_a__U11, null_a__U12, null_a__U13, null_a__U21, null_a__U22, null_a__U23, null_a__U31, null_a__U32, null_a__U33, null_a__U41, null_a__U42, null_a__U43, null_a__U44, null_a__U45, null_a__U46, null_a__U51, null_a__U52, null_a__U61, null_a__U71, null_a__U81, null_a__U82, null_a__U83, null_a__U84, null_a__U85, null_a__U86, null_a__U91, null_a__U92, null_a__U93, null_a__U94, null_a__isNat, null_a__isNatIList, null_a__isNatIListKind, null_a__isNatKind, null_a__isNatList, null_a__length, null_mark, const, const1, const2, const3, const4, const5, const6, const7, const8, const9, const10, const11, const12, const13, const14, const15, const16, const17, const18, const19, const20, const21, const22, const23, const24 ---------------------------------------- (52) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) [1] A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) [1] A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) [1] A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) [1] A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) [1] A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) [1] A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) [1] A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) [1] A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) [1] A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) [1] A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) [1] A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) [1] MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) [1] MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) [1] MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) [1] MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) [1] MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) [1] MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) [1] MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) [1] MARK(isNat(z0)) -> c92(A__ISNAT(z0)) [1] MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) [1] MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) [1] MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) [1] MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) [1] MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) [1] MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) [1] MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) [1] MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) [1] MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) [1] MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) [1] MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) [1] MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) [1] MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) [1] MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) [1] MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) [1] MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) [1] MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) [1] MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) [1] MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) [1] MARK(cons(z0, z1)) -> c118(MARK(z0)) [1] MARK(s(z0)) -> c121(MARK(z0)) [1] A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) [1] A__U22(tt, z0) -> c10(A__ISNAT(z0)) [1] A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) [1] A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) [1] A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) [1] A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) [1] A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) [1] A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) [1] MARK(U13(z0)) -> c86(MARK(z0)) [1] MARK(U23(z0)) -> c91(MARK(z0)) [1] MARK(U33(z0)) -> c95(MARK(z0)) [1] MARK(U46(z0)) -> c101(MARK(z0)) [1] MARK(U52(z0)) -> c104(MARK(z0)) [1] MARK(U61(z0)) -> c105(MARK(z0)) [1] MARK(U71(z0)) -> c106(MARK(z0)) [1] MARK(U86(z0)) -> c112(MARK(z0)) [1] A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) [1] A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) [1] A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) [1] A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) [1] a__zeros -> cons(0, zeros) [0] a__zeros -> zeros [0] a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) [0] a__U11(z0, z1) -> U11(z0, z1) [0] a__U12(tt, z0) -> a__U13(a__isNatList(z0)) [0] a__U12(z0, z1) -> U12(z0, z1) [0] a__U13(tt) -> tt [0] a__U13(z0) -> U13(z0) [0] a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) [0] a__U21(z0, z1) -> U21(z0, z1) [0] a__U22(tt, z0) -> a__U23(a__isNat(z0)) [0] a__U22(z0, z1) -> U22(z0, z1) [0] a__U23(tt) -> tt [0] a__U23(z0) -> U23(z0) [0] a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) [0] a__U31(z0, z1) -> U31(z0, z1) [0] a__U32(tt, z0) -> a__U33(a__isNatList(z0)) [0] a__U32(z0, z1) -> U32(z0, z1) [0] a__U33(tt) -> tt [0] a__U33(z0) -> U33(z0) [0] a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) [0] a__U41(z0, z1, z2) -> U41(z0, z1, z2) [0] a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) [0] a__U42(z0, z1, z2) -> U42(z0, z1, z2) [0] a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) [0] a__U43(z0, z1, z2) -> U43(z0, z1, z2) [0] a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) [0] a__U44(z0, z1, z2) -> U44(z0, z1, z2) [0] a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) [0] a__U45(z0, z1) -> U45(z0, z1) [0] a__U46(tt) -> tt [0] a__U46(z0) -> U46(z0) [0] a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) [0] a__U51(z0, z1) -> U51(z0, z1) [0] a__U52(tt) -> tt [0] a__U52(z0) -> U52(z0) [0] a__U61(tt) -> tt [0] a__U61(z0) -> U61(z0) [0] a__U71(tt) -> tt [0] a__U71(z0) -> U71(z0) [0] a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) [0] a__U81(z0, z1, z2) -> U81(z0, z1, z2) [0] a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) [0] a__U82(z0, z1, z2) -> U82(z0, z1, z2) [0] a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) [0] a__U83(z0, z1, z2) -> U83(z0, z1, z2) [0] a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) [0] a__U84(z0, z1, z2) -> U84(z0, z1, z2) [0] a__U85(tt, z0) -> a__U86(a__isNatList(z0)) [0] a__U85(z0, z1) -> U85(z0, z1) [0] a__U86(tt) -> tt [0] a__U86(z0) -> U86(z0) [0] a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) [0] a__U91(z0, z1, z2) -> U91(z0, z1, z2) [0] a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) [0] a__U92(z0, z1, z2) -> U92(z0, z1, z2) [0] a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) [0] a__U93(z0, z1, z2) -> U93(z0, z1, z2) [0] a__U94(tt, z0) -> s(a__length(mark(z0))) [0] a__U94(z0, z1) -> U94(z0, z1) [0] a__isNat(0) -> tt [0] a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) [0] a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) [0] a__isNat(z0) -> isNat(z0) [0] a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) [0] a__isNatIList(zeros) -> tt [0] a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) [0] a__isNatIList(z0) -> isNatIList(z0) [0] a__isNatIListKind(nil) -> tt [0] a__isNatIListKind(zeros) -> tt [0] a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) [0] a__isNatIListKind(z0) -> isNatIListKind(z0) [0] a__isNatKind(0) -> tt [0] a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) [0] a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) [0] a__isNatKind(z0) -> isNatKind(z0) [0] a__isNatList(nil) -> tt [0] a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) [0] a__isNatList(z0) -> isNatList(z0) [0] a__length(nil) -> 0 [0] a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) [0] a__length(z0) -> length(z0) [0] mark(zeros) -> a__zeros [0] mark(U11(z0, z1)) -> a__U11(mark(z0), z1) [0] mark(U12(z0, z1)) -> a__U12(mark(z0), z1) [0] mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) [0] mark(U13(z0)) -> a__U13(mark(z0)) [0] mark(isNatList(z0)) -> a__isNatList(z0) [0] mark(U21(z0, z1)) -> a__U21(mark(z0), z1) [0] mark(U22(z0, z1)) -> a__U22(mark(z0), z1) [0] mark(isNatKind(z0)) -> a__isNatKind(z0) [0] mark(U23(z0)) -> a__U23(mark(z0)) [0] mark(isNat(z0)) -> a__isNat(z0) [0] mark(U31(z0, z1)) -> a__U31(mark(z0), z1) [0] mark(U32(z0, z1)) -> a__U32(mark(z0), z1) [0] mark(U33(z0)) -> a__U33(mark(z0)) [0] mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) [0] mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) [0] mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) [0] mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) [0] mark(U45(z0, z1)) -> a__U45(mark(z0), z1) [0] mark(U46(z0)) -> a__U46(mark(z0)) [0] mark(isNatIList(z0)) -> a__isNatIList(z0) [0] mark(U51(z0, z1)) -> a__U51(mark(z0), z1) [0] mark(U52(z0)) -> a__U52(mark(z0)) [0] mark(U61(z0)) -> a__U61(mark(z0)) [0] mark(U71(z0)) -> a__U71(mark(z0)) [0] mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) [0] mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) [0] mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) [0] mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) [0] mark(U85(z0, z1)) -> a__U85(mark(z0), z1) [0] mark(U86(z0)) -> a__U86(mark(z0)) [0] mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) [0] mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) [0] mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) [0] mark(U94(z0, z1)) -> a__U94(mark(z0), z1) [0] mark(length(z0)) -> a__length(mark(z0)) [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(0) -> 0 [0] mark(tt) -> tt [0] mark(s(z0)) -> s(mark(z0)) [0] mark(nil) -> nil [0] a__zeros -> null_a__zeros [0] a__U11(v0, v1) -> null_a__U11 [0] a__U12(v0, v1) -> null_a__U12 [0] a__U13(v0) -> null_a__U13 [0] a__U21(v0, v1) -> null_a__U21 [0] a__U22(v0, v1) -> null_a__U22 [0] a__U23(v0) -> null_a__U23 [0] a__U31(v0, v1) -> null_a__U31 [0] a__U32(v0, v1) -> null_a__U32 [0] a__U33(v0) -> null_a__U33 [0] a__U41(v0, v1, v2) -> null_a__U41 [0] a__U42(v0, v1, v2) -> null_a__U42 [0] a__U43(v0, v1, v2) -> null_a__U43 [0] a__U44(v0, v1, v2) -> null_a__U44 [0] a__U45(v0, v1) -> null_a__U45 [0] a__U46(v0) -> null_a__U46 [0] a__U51(v0, v1) -> null_a__U51 [0] a__U52(v0) -> null_a__U52 [0] a__U61(v0) -> null_a__U61 [0] a__U71(v0) -> null_a__U71 [0] a__U81(v0, v1, v2) -> null_a__U81 [0] a__U82(v0, v1, v2) -> null_a__U82 [0] a__U83(v0, v1, v2) -> null_a__U83 [0] a__U84(v0, v1, v2) -> null_a__U84 [0] a__U85(v0, v1) -> null_a__U85 [0] a__U86(v0) -> null_a__U86 [0] a__U91(v0, v1, v2) -> null_a__U91 [0] a__U92(v0, v1, v2) -> null_a__U92 [0] a__U93(v0, v1, v2) -> null_a__U93 [0] a__U94(v0, v1) -> null_a__U94 [0] a__isNat(v0) -> null_a__isNat [0] a__isNatIList(v0) -> null_a__isNatIList [0] a__isNatIListKind(v0) -> null_a__isNatIListKind [0] a__isNatKind(v0) -> null_a__isNatKind [0] a__isNatList(v0) -> null_a__isNatList [0] a__length(v0) -> null_a__length [0] mark(v0) -> null_mark [0] The TRS has the following type information: A__U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c2 tt :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c2 :: c4 -> c66:c70:c16:c -> c2 A__U12 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c4 a__isNatIListKind :: 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c A__U21 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c8 c8 :: c10 -> c73:c74 -> c8 A__U22 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c10 a__isNatKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark A__ISNATKIND :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c73:c74 A__U41 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c20 c20 :: c22 -> c73:c74 -> c20 A__U42 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c22 c22 :: c24 -> c66:c70:c16:c -> c22 A__U43 :: 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c24 c24 :: c26 -> c66:c70:c16:c -> c24 A__U44 :: 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c26 c26 :: c28 -> c61:c62 -> c26 A__U45 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c28 a__isNat :: 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c61:c62 A__U81 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c40 c40 :: c42 -> c73:c74 -> c40 A__U82 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c42 c42 :: c44 -> c66:c70:c16:c -> c42 A__U83 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c44 c44 :: c46 -> c66:c70:c16:c -> c44 A__U84 :: 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c52 c52 :: c54 -> c66:c70:c16:c -> c52 A__U92 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark MARK :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 length :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c61 :: c2 -> c66:c70:c16:c -> c61:c62 s :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c62 :: c8 -> c73:c74 -> c61:c62 A__ISNATILIST :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c cons :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c66 :: c20 -> c73:c74 -> c66:c70:c16:c c70 :: c32 -> c73:c74 -> c66:c70:c16:c A__U51 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c32 A__ISNATLIST :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c77 c77 :: c40 -> c73:c74 -> c77 c80 :: c52 -> c77 -> c80 a__isNatList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c83 :: c2 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U12 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c84 :: c4 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatIListKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c85 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c87 :: c77 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U21 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c88 :: c8 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U22 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c89 :: c10 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c90 :: c73:c74 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNat :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c92 :: c61:c62 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U31 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c93 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 A__U31 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c U32 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c94 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 A__U32 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c U41 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c96 :: c20 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U42 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c97 :: c22 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U43 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c98 :: c24 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U44 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c99 :: c26 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U45 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c100 :: c28 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatIList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c102 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U51 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c103 :: c32 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U81 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c107 :: c40 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U82 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c108 :: c42 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U83 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c109 :: c44 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U84 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c110 :: c46 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U85 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c111 :: c48 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U91 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c113 :: c52 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U92 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c114 :: c54 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U93 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c115 :: c56 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U94 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c116 :: c58 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c117 :: c80 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c118 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c121 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c4 :: c77 -> c4 c10 :: c61:c62 -> c10 c16 :: c77 -> c66:c70:c16:c c28 :: c66:c70:c16:c -> c28 c32 :: c66:c70:c16:c -> c32 c48 :: c77 -> c48 c73 :: c66:c70:c16:c -> c73:c74 c74 :: c73:c74 -> c73:c74 U13 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c86 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U23 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c91 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U33 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c95 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U46 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c101 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U52 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c104 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U61 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c105 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U71 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c106 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U86 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c112 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c :: c66:c70:c16:c -> c66:c70:c16:c a__zeros :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark 0 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark zeros :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark a__U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark const :: c2 const1 :: c4 const2 :: c66:c70:c16:c const3 :: c8 const4 :: c10 const5 :: c73:c74 const6 :: c20 const7 :: c22 const8 :: c24 const9 :: c26 const10 :: c28 const11 :: c61:c62 const12 :: c40 const13 :: c42 const14 :: c44 const15 :: c46 const16 :: c48 const17 :: c52 const18 :: c54 const19 :: c56 const20 :: c58 const21 :: c80 const22 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 const23 :: c32 const24 :: c77 Rewrite Strategy: INNERMOST ---------------------------------------- (53) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (54) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__U11(tt, nil) -> c2(A__U12(tt, nil), A__ISNATILISTKIND(nil)) [1] A__U11(tt, zeros) -> c2(A__U12(tt, zeros), A__ISNATILISTKIND(zeros)) [1] A__U11(tt, cons(z0', z1')) -> c2(A__U12(a__U51(a__isNatKind(z0'), z1'), cons(z0', z1')), A__ISNATILISTKIND(cons(z0', z1'))) [1] A__U11(tt, z0) -> c2(A__U12(isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) [1] A__U11(tt, z0) -> c2(A__U12(null_a__isNatIListKind, z0), A__ISNATILISTKIND(z0)) [1] A__U21(tt, 0) -> c8(A__U22(tt, 0), A__ISNATKIND(0)) [1] A__U21(tt, length(z0'')) -> c8(A__U22(a__U61(a__isNatIListKind(z0'')), length(z0'')), A__ISNATKIND(length(z0''))) [1] A__U21(tt, s(z01)) -> c8(A__U22(a__U71(a__isNatKind(z01)), s(z01)), A__ISNATKIND(s(z01))) [1] A__U21(tt, z0) -> c8(A__U22(isNatKind(z0), z0), A__ISNATKIND(z0)) [1] A__U21(tt, z0) -> c8(A__U22(null_a__isNatKind, z0), A__ISNATKIND(z0)) [1] A__U41(tt, 0, z1) -> c20(A__U42(tt, 0, z1), A__ISNATKIND(0)) [1] A__U41(tt, length(z02), z1) -> c20(A__U42(a__U61(a__isNatIListKind(z02)), length(z02), z1), A__ISNATKIND(length(z02))) [1] A__U41(tt, s(z03), z1) -> c20(A__U42(a__U71(a__isNatKind(z03)), s(z03), z1), A__ISNATKIND(s(z03))) [1] A__U41(tt, z0, z1) -> c20(A__U42(isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__U41(tt, z0, z1) -> c20(A__U42(null_a__isNatKind, z0, z1), A__ISNATKIND(z0)) [1] A__U42(tt, z0, nil) -> c22(A__U43(tt, z0, nil), A__ISNATILISTKIND(nil)) [1] A__U42(tt, z0, zeros) -> c22(A__U43(tt, z0, zeros), A__ISNATILISTKIND(zeros)) [1] A__U42(tt, z0, cons(z04, z1'')) -> c22(A__U43(a__U51(a__isNatKind(z04), z1''), z0, cons(z04, z1'')), A__ISNATILISTKIND(cons(z04, z1''))) [1] A__U42(tt, z0, z1) -> c22(A__U43(isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U42(tt, z0, z1) -> c22(A__U43(null_a__isNatIListKind, z0, z1), A__ISNATILISTKIND(z1)) [1] A__U43(tt, z0, nil) -> c24(A__U44(tt, z0, nil), A__ISNATILISTKIND(nil)) [1] A__U43(tt, z0, zeros) -> c24(A__U44(tt, z0, zeros), A__ISNATILISTKIND(zeros)) [1] A__U43(tt, z0, cons(z05, z11)) -> c24(A__U44(a__U51(a__isNatKind(z05), z11), z0, cons(z05, z11)), A__ISNATILISTKIND(cons(z05, z11))) [1] A__U43(tt, z0, z1) -> c24(A__U44(isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U43(tt, z0, z1) -> c24(A__U44(null_a__isNatIListKind, z0, z1), A__ISNATILISTKIND(z1)) [1] A__U44(tt, 0, z1) -> c26(A__U45(tt, z1), A__ISNAT(0)) [1] A__U44(tt, length(z06), z1) -> c26(A__U45(a__U11(a__isNatIListKind(z06), z06), z1), A__ISNAT(length(z06))) [1] A__U44(tt, s(z07), z1) -> c26(A__U45(a__U21(a__isNatKind(z07), z07), z1), A__ISNAT(s(z07))) [1] A__U44(tt, z0, z1) -> c26(A__U45(isNat(z0), z1), A__ISNAT(z0)) [1] A__U44(tt, z0, z1) -> c26(A__U45(null_a__isNat, z1), A__ISNAT(z0)) [1] A__U81(tt, 0, z1) -> c40(A__U82(tt, 0, z1), A__ISNATKIND(0)) [1] A__U81(tt, length(z08), z1) -> c40(A__U82(a__U61(a__isNatIListKind(z08)), length(z08), z1), A__ISNATKIND(length(z08))) [1] A__U81(tt, s(z09), z1) -> c40(A__U82(a__U71(a__isNatKind(z09)), s(z09), z1), A__ISNATKIND(s(z09))) [1] A__U81(tt, z0, z1) -> c40(A__U82(isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__U81(tt, z0, z1) -> c40(A__U82(null_a__isNatKind, z0, z1), A__ISNATKIND(z0)) [1] A__U82(tt, z0, nil) -> c42(A__U83(tt, z0, nil), A__ISNATILISTKIND(nil)) [1] A__U82(tt, z0, zeros) -> c42(A__U83(tt, z0, zeros), A__ISNATILISTKIND(zeros)) [1] A__U82(tt, z0, cons(z010, z12)) -> c42(A__U83(a__U51(a__isNatKind(z010), z12), z0, cons(z010, z12)), A__ISNATILISTKIND(cons(z010, z12))) [1] A__U82(tt, z0, z1) -> c42(A__U83(isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U82(tt, z0, z1) -> c42(A__U83(null_a__isNatIListKind, z0, z1), A__ISNATILISTKIND(z1)) [1] A__U83(tt, z0, nil) -> c44(A__U84(tt, z0, nil), A__ISNATILISTKIND(nil)) [1] A__U83(tt, z0, zeros) -> c44(A__U84(tt, z0, zeros), A__ISNATILISTKIND(zeros)) [1] A__U83(tt, z0, cons(z011, z13)) -> c44(A__U84(a__U51(a__isNatKind(z011), z13), z0, cons(z011, z13)), A__ISNATILISTKIND(cons(z011, z13))) [1] A__U83(tt, z0, z1) -> c44(A__U84(isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U83(tt, z0, z1) -> c44(A__U84(null_a__isNatIListKind, z0, z1), A__ISNATILISTKIND(z1)) [1] A__U84(tt, 0, z1) -> c46(A__U85(tt, z1), A__ISNAT(0)) [1] A__U84(tt, length(z012), z1) -> c46(A__U85(a__U11(a__isNatIListKind(z012), z012), z1), A__ISNAT(length(z012))) [1] A__U84(tt, s(z013), z1) -> c46(A__U85(a__U21(a__isNatKind(z013), z013), z1), A__ISNAT(s(z013))) [1] A__U84(tt, z0, z1) -> c46(A__U85(isNat(z0), z1), A__ISNAT(z0)) [1] A__U84(tt, z0, z1) -> c46(A__U85(null_a__isNat, z1), A__ISNAT(z0)) [1] A__U91(tt, nil, z1) -> c52(A__U92(tt, nil, z1), A__ISNATILISTKIND(nil)) [1] A__U91(tt, zeros, z1) -> c52(A__U92(tt, zeros, z1), A__ISNATILISTKIND(zeros)) [1] A__U91(tt, cons(z014, z14), z1) -> c52(A__U92(a__U51(a__isNatKind(z014), z14), cons(z014, z14), z1), A__ISNATILISTKIND(cons(z014, z14))) [1] A__U91(tt, z0, z1) -> c52(A__U92(isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) [1] A__U91(tt, z0, z1) -> c52(A__U92(null_a__isNatIListKind, z0, z1), A__ISNATILISTKIND(z0)) [1] A__U92(tt, z0, 0) -> c54(A__U93(tt, z0, 0), A__ISNAT(0)) [1] A__U92(tt, z0, length(z015)) -> c54(A__U93(a__U11(a__isNatIListKind(z015), z015), z0, length(z015)), A__ISNAT(length(z015))) [1] A__U92(tt, z0, s(z016)) -> c54(A__U93(a__U21(a__isNatKind(z016), z016), z0, s(z016)), A__ISNAT(s(z016))) [1] A__U92(tt, z0, z1) -> c54(A__U93(isNat(z1), z0, z1), A__ISNAT(z1)) [1] A__U92(tt, z0, z1) -> c54(A__U93(null_a__isNat, z0, z1), A__ISNAT(z1)) [1] A__U93(tt, z0, 0) -> c56(A__U94(tt, z0), A__ISNATKIND(0)) [1] A__U93(tt, z0, length(z017)) -> c56(A__U94(a__U61(a__isNatIListKind(z017)), z0), A__ISNATKIND(length(z017))) [1] A__U93(tt, z0, s(z018)) -> c56(A__U94(a__U71(a__isNatKind(z018)), z0), A__ISNATKIND(s(z018))) [1] A__U93(tt, z0, z1) -> c56(A__U94(isNatKind(z1), z0), A__ISNATKIND(z1)) [1] A__U93(tt, z0, z1) -> c56(A__U94(null_a__isNatKind, z0), A__ISNATKIND(z1)) [1] A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) [1] A__ISNAT(length(nil)) -> c61(A__U11(tt, nil), A__ISNATILISTKIND(nil)) [1] A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros), A__ISNATILISTKIND(zeros)) [1] A__ISNAT(length(cons(z056, z127))) -> c61(A__U11(a__U51(a__isNatKind(z056), z127), cons(z056, z127)), A__ISNATILISTKIND(cons(z056, z127))) [1] A__ISNAT(length(z0)) -> c61(A__U11(isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) [1] A__ISNAT(length(z0)) -> c61(A__U11(null_a__isNatIListKind, z0), A__ISNATILISTKIND(z0)) [1] A__ISNAT(s(0)) -> c62(A__U21(tt, 0), A__ISNATKIND(0)) [1] A__ISNAT(s(length(z057))) -> c62(A__U21(a__U61(a__isNatIListKind(z057)), length(z057)), A__ISNATKIND(length(z057))) [1] A__ISNAT(s(s(z058))) -> c62(A__U21(a__U71(a__isNatKind(z058)), s(z058)), A__ISNATKIND(s(z058))) [1] A__ISNAT(s(z0)) -> c62(A__U21(isNatKind(z0), z0), A__ISNATKIND(z0)) [1] A__ISNAT(s(z0)) -> c62(A__U21(null_a__isNatKind, z0), A__ISNATKIND(z0)) [1] A__ISNATILIST(cons(0, z1)) -> c66(A__U41(tt, 0, z1), A__ISNATKIND(0)) [1] A__ISNATILIST(cons(length(z059), z1)) -> c66(A__U41(a__U61(a__isNatIListKind(z059)), length(z059), z1), A__ISNATKIND(length(z059))) [1] A__ISNATILIST(cons(s(z060), z1)) -> c66(A__U41(a__U71(a__isNatKind(z060)), s(z060), z1), A__ISNATKIND(s(z060))) [1] A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(null_a__isNatKind, z0, z1), A__ISNATKIND(z0)) [1] A__ISNATILISTKIND(cons(0, z1)) -> c70(A__U51(tt, z1), A__ISNATKIND(0)) [1] A__ISNATILISTKIND(cons(length(z061), z1)) -> c70(A__U51(a__U61(a__isNatIListKind(z061)), z1), A__ISNATKIND(length(z061))) [1] A__ISNATILISTKIND(cons(s(z062), z1)) -> c70(A__U51(a__U71(a__isNatKind(z062)), z1), A__ISNATKIND(s(z062))) [1] A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(isNatKind(z0), z1), A__ISNATKIND(z0)) [1] A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(null_a__isNatKind, z1), A__ISNATKIND(z0)) [1] A__ISNATLIST(cons(0, z1)) -> c77(A__U81(tt, 0, z1), A__ISNATKIND(0)) [1] A__ISNATLIST(cons(length(z063), z1)) -> c77(A__U81(a__U61(a__isNatIListKind(z063)), length(z063), z1), A__ISNATKIND(length(z063))) [1] A__ISNATLIST(cons(s(z064), z1)) -> c77(A__U81(a__U71(a__isNatKind(z064)), s(z064), z1), A__ISNATKIND(s(z064))) [1] A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(null_a__isNatKind, z0, z1), A__ISNATKIND(z0)) [1] A__LENGTH(cons(z0, nil)) -> c80(A__U91(tt, nil, z0), A__ISNATLIST(nil)) [1] A__LENGTH(cons(z0, cons(z065, z128))) -> c80(A__U91(a__U81(a__isNatKind(z065), z065, z128), cons(z065, z128), z0), A__ISNATLIST(cons(z065, z128))) [1] A__LENGTH(cons(z0, z1)) -> c80(A__U91(isNatList(z1), z1, z0), A__ISNATLIST(z1)) [1] A__LENGTH(cons(z0, z1)) -> c80(A__U91(null_a__isNatList, z1, z0), A__ISNATLIST(z1)) [1] MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) [1] MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) [1] MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) [1] MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) [1] MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) [1] MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) [1] MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) [1] MARK(isNat(z0)) -> c92(A__ISNAT(z0)) [1] MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) [1] MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) [1] MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) [1] MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) [1] MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) [1] MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) [1] MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) [1] MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) [1] MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) [1] MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) [1] MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) [1] MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) [1] MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) [1] MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) [1] MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) [1] MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) [1] MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) [1] MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) [1] MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) [1] MARK(cons(z0, z1)) -> c118(MARK(z0)) [1] MARK(s(z0)) -> c121(MARK(z0)) [1] A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) [1] A__U22(tt, z0) -> c10(A__ISNAT(z0)) [1] A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) [1] A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) [1] A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) [1] A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) [1] A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) [1] A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) [1] MARK(U13(z0)) -> c86(MARK(z0)) [1] MARK(U23(z0)) -> c91(MARK(z0)) [1] MARK(U33(z0)) -> c95(MARK(z0)) [1] MARK(U46(z0)) -> c101(MARK(z0)) [1] MARK(U52(z0)) -> c104(MARK(z0)) [1] MARK(U61(z0)) -> c105(MARK(z0)) [1] MARK(U71(z0)) -> c106(MARK(z0)) [1] MARK(U86(z0)) -> c112(MARK(z0)) [1] A__U31(tt, nil) -> c(A__U32(tt, nil)) [1] A__U31(tt, zeros) -> c(A__U32(tt, zeros)) [1] A__U31(tt, cons(z0880, z1513)) -> c(A__U32(a__U51(a__isNatKind(z0880), z1513), cons(z0880, z1513))) [1] A__U31(tt, z0) -> c(A__U32(isNatIListKind(z0), z0)) [1] A__U31(tt, z0) -> c(A__U32(null_a__isNatIListKind, z0)) [1] A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) [1] A__ISNATILIST(nil) -> c(A__U31(tt, nil)) [1] A__ISNATILIST(zeros) -> c(A__U31(tt, zeros)) [1] A__ISNATILIST(cons(z0881, z1514)) -> c(A__U31(a__U51(a__isNatKind(z0881), z1514), cons(z0881, z1514))) [1] A__ISNATILIST(z0) -> c(A__U31(isNatIListKind(z0), z0)) [1] A__ISNATILIST(z0) -> c(A__U31(null_a__isNatIListKind, z0)) [1] A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) [1] a__zeros -> cons(0, zeros) [0] a__zeros -> zeros [0] a__U11(tt, nil) -> a__U12(tt, nil) [0] a__U11(tt, zeros) -> a__U12(tt, zeros) [0] a__U11(tt, cons(z0882, z1515)) -> a__U12(a__U51(a__isNatKind(z0882), z1515), cons(z0882, z1515)) [0] a__U11(tt, z0) -> a__U12(isNatIListKind(z0), z0) [0] a__U11(tt, z0) -> a__U12(null_a__isNatIListKind, z0) [0] a__U11(z0, z1) -> U11(z0, z1) [0] a__U12(tt, nil) -> a__U13(tt) [0] a__U12(tt, cons(z0883, z1516)) -> a__U13(a__U81(a__isNatKind(z0883), z0883, z1516)) [0] a__U12(tt, z0) -> a__U13(isNatList(z0)) [0] a__U12(tt, z0) -> a__U13(null_a__isNatList) [0] a__U12(z0, z1) -> U12(z0, z1) [0] a__U13(tt) -> tt [0] a__U13(z0) -> U13(z0) [0] a__U21(tt, 0) -> a__U22(tt, 0) [0] a__U21(tt, length(z0884)) -> a__U22(a__U61(a__isNatIListKind(z0884)), length(z0884)) [0] a__U21(tt, s(z0885)) -> a__U22(a__U71(a__isNatKind(z0885)), s(z0885)) [0] a__U21(tt, z0) -> a__U22(isNatKind(z0), z0) [0] a__U21(tt, z0) -> a__U22(null_a__isNatKind, z0) [0] a__U21(z0, z1) -> U21(z0, z1) [0] a__U22(tt, 0) -> a__U23(tt) [0] a__U22(tt, length(z0886)) -> a__U23(a__U11(a__isNatIListKind(z0886), z0886)) [0] a__U22(tt, s(z0887)) -> a__U23(a__U21(a__isNatKind(z0887), z0887)) [0] a__U22(tt, z0) -> a__U23(isNat(z0)) [0] a__U22(tt, z0) -> a__U23(null_a__isNat) [0] a__U22(z0, z1) -> U22(z0, z1) [0] a__U23(tt) -> tt [0] a__U23(z0) -> U23(z0) [0] a__U31(tt, nil) -> a__U32(tt, nil) [0] a__U31(tt, zeros) -> a__U32(tt, zeros) [0] a__U31(tt, cons(z0888, z1517)) -> a__U32(a__U51(a__isNatKind(z0888), z1517), cons(z0888, z1517)) [0] a__U31(tt, z0) -> a__U32(isNatIListKind(z0), z0) [0] a__U31(tt, z0) -> a__U32(null_a__isNatIListKind, z0) [0] a__U31(z0, z1) -> U31(z0, z1) [0] a__U32(tt, nil) -> a__U33(tt) [0] a__U32(tt, cons(z0889, z1518)) -> a__U33(a__U81(a__isNatKind(z0889), z0889, z1518)) [0] a__U32(tt, z0) -> a__U33(isNatList(z0)) [0] a__U32(tt, z0) -> a__U33(null_a__isNatList) [0] a__U32(z0, z1) -> U32(z0, z1) [0] a__U33(tt) -> tt [0] a__U33(z0) -> U33(z0) [0] a__U41(tt, 0, z1) -> a__U42(tt, 0, z1) [0] a__U41(tt, length(z0890), z1) -> a__U42(a__U61(a__isNatIListKind(z0890)), length(z0890), z1) [0] a__U41(tt, s(z0891), z1) -> a__U42(a__U71(a__isNatKind(z0891)), s(z0891), z1) [0] a__U41(tt, z0, z1) -> a__U42(isNatKind(z0), z0, z1) [0] a__U41(tt, z0, z1) -> a__U42(null_a__isNatKind, z0, z1) [0] a__U41(z0, z1, z2) -> U41(z0, z1, z2) [0] a__U42(tt, z0, nil) -> a__U43(tt, z0, nil) [0] a__U42(tt, z0, zeros) -> a__U43(tt, z0, zeros) [0] a__U42(tt, z0, cons(z0892, z1519)) -> a__U43(a__U51(a__isNatKind(z0892), z1519), z0, cons(z0892, z1519)) [0] a__U42(tt, z0, z1) -> a__U43(isNatIListKind(z1), z0, z1) [0] a__U42(tt, z0, z1) -> a__U43(null_a__isNatIListKind, z0, z1) [0] a__U42(z0, z1, z2) -> U42(z0, z1, z2) [0] a__U43(tt, z0, nil) -> a__U44(tt, z0, nil) [0] a__U43(tt, z0, zeros) -> a__U44(tt, z0, zeros) [0] a__U43(tt, z0, cons(z0893, z1520)) -> a__U44(a__U51(a__isNatKind(z0893), z1520), z0, cons(z0893, z1520)) [0] a__U43(tt, z0, z1) -> a__U44(isNatIListKind(z1), z0, z1) [0] a__U43(tt, z0, z1) -> a__U44(null_a__isNatIListKind, z0, z1) [0] a__U43(z0, z1, z2) -> U43(z0, z1, z2) [0] a__U44(tt, 0, z1) -> a__U45(tt, z1) [0] a__U44(tt, length(z0894), z1) -> a__U45(a__U11(a__isNatIListKind(z0894), z0894), z1) [0] a__U44(tt, s(z0895), z1) -> a__U45(a__U21(a__isNatKind(z0895), z0895), z1) [0] a__U44(tt, z0, z1) -> a__U45(isNat(z0), z1) [0] a__U44(tt, z0, z1) -> a__U45(null_a__isNat, z1) [0] a__U44(z0, z1, z2) -> U44(z0, z1, z2) [0] a__U45(tt, z0) -> a__U46(a__U31(a__isNatIListKind(z0), z0)) [0] a__U45(tt, zeros) -> a__U46(tt) [0] a__U45(tt, cons(z0896, z1521)) -> a__U46(a__U41(a__isNatKind(z0896), z0896, z1521)) [0] a__U45(tt, z0) -> a__U46(isNatIList(z0)) [0] a__U45(tt, z0) -> a__U46(null_a__isNatIList) [0] a__U45(z0, z1) -> U45(z0, z1) [0] a__U46(tt) -> tt [0] a__U46(z0) -> U46(z0) [0] a__U51(tt, nil) -> a__U52(tt) [0] a__U51(tt, zeros) -> a__U52(tt) [0] a__U51(tt, cons(z0897, z1522)) -> a__U52(a__U51(a__isNatKind(z0897), z1522)) [0] a__U51(tt, z0) -> a__U52(isNatIListKind(z0)) [0] a__U51(tt, z0) -> a__U52(null_a__isNatIListKind) [0] a__U51(z0, z1) -> U51(z0, z1) [0] a__U52(tt) -> tt [0] a__U52(z0) -> U52(z0) [0] a__U61(tt) -> tt [0] a__U61(z0) -> U61(z0) [0] a__U71(tt) -> tt [0] a__U71(z0) -> U71(z0) [0] a__U81(tt, 0, z1) -> a__U82(tt, 0, z1) [0] a__U81(tt, length(z0898), z1) -> a__U82(a__U61(a__isNatIListKind(z0898)), length(z0898), z1) [0] a__U81(tt, s(z0899), z1) -> a__U82(a__U71(a__isNatKind(z0899)), s(z0899), z1) [0] a__U81(tt, z0, z1) -> a__U82(isNatKind(z0), z0, z1) [0] a__U81(tt, z0, z1) -> a__U82(null_a__isNatKind, z0, z1) [0] a__U81(z0, z1, z2) -> U81(z0, z1, z2) [0] a__U82(tt, z0, nil) -> a__U83(tt, z0, nil) [0] a__U82(tt, z0, zeros) -> a__U83(tt, z0, zeros) [0] a__U82(tt, z0, cons(z0900, z1523)) -> a__U83(a__U51(a__isNatKind(z0900), z1523), z0, cons(z0900, z1523)) [0] a__U82(tt, z0, z1) -> a__U83(isNatIListKind(z1), z0, z1) [0] a__U82(tt, z0, z1) -> a__U83(null_a__isNatIListKind, z0, z1) [0] a__U82(z0, z1, z2) -> U82(z0, z1, z2) [0] a__U83(tt, z0, nil) -> a__U84(tt, z0, nil) [0] a__U83(tt, z0, zeros) -> a__U84(tt, z0, zeros) [0] a__U83(tt, z0, cons(z0901, z1524)) -> a__U84(a__U51(a__isNatKind(z0901), z1524), z0, cons(z0901, z1524)) [0] a__U83(tt, z0, z1) -> a__U84(isNatIListKind(z1), z0, z1) [0] a__U83(tt, z0, z1) -> a__U84(null_a__isNatIListKind, z0, z1) [0] a__U83(z0, z1, z2) -> U83(z0, z1, z2) [0] a__U84(tt, 0, z1) -> a__U85(tt, z1) [0] a__U84(tt, length(z0902), z1) -> a__U85(a__U11(a__isNatIListKind(z0902), z0902), z1) [0] a__U84(tt, s(z0903), z1) -> a__U85(a__U21(a__isNatKind(z0903), z0903), z1) [0] a__U84(tt, z0, z1) -> a__U85(isNat(z0), z1) [0] a__U84(tt, z0, z1) -> a__U85(null_a__isNat, z1) [0] a__U84(z0, z1, z2) -> U84(z0, z1, z2) [0] a__U85(tt, nil) -> a__U86(tt) [0] a__U85(tt, cons(z0904, z1525)) -> a__U86(a__U81(a__isNatKind(z0904), z0904, z1525)) [0] a__U85(tt, z0) -> a__U86(isNatList(z0)) [0] a__U85(tt, z0) -> a__U86(null_a__isNatList) [0] a__U85(z0, z1) -> U85(z0, z1) [0] a__U86(tt) -> tt [0] a__U86(z0) -> U86(z0) [0] a__U91(tt, nil, z1) -> a__U92(tt, nil, z1) [0] a__U91(tt, zeros, z1) -> a__U92(tt, zeros, z1) [0] a__U91(tt, cons(z0905, z1526), z1) -> a__U92(a__U51(a__isNatKind(z0905), z1526), cons(z0905, z1526), z1) [0] a__U91(tt, z0, z1) -> a__U92(isNatIListKind(z0), z0, z1) [0] a__U91(tt, z0, z1) -> a__U92(null_a__isNatIListKind, z0, z1) [0] a__U91(z0, z1, z2) -> U91(z0, z1, z2) [0] a__U92(tt, z0, 0) -> a__U93(tt, z0, 0) [0] a__U92(tt, z0, length(z0906)) -> a__U93(a__U11(a__isNatIListKind(z0906), z0906), z0, length(z0906)) [0] a__U92(tt, z0, s(z0907)) -> a__U93(a__U21(a__isNatKind(z0907), z0907), z0, s(z0907)) [0] a__U92(tt, z0, z1) -> a__U93(isNat(z1), z0, z1) [0] a__U92(tt, z0, z1) -> a__U93(null_a__isNat, z0, z1) [0] a__U92(z0, z1, z2) -> U92(z0, z1, z2) [0] a__U93(tt, z0, 0) -> a__U94(tt, z0) [0] a__U93(tt, z0, length(z0908)) -> a__U94(a__U61(a__isNatIListKind(z0908)), z0) [0] a__U93(tt, z0, s(z0909)) -> a__U94(a__U71(a__isNatKind(z0909)), z0) [0] a__U93(tt, z0, z1) -> a__U94(isNatKind(z1), z0) [0] a__U93(tt, z0, z1) -> a__U94(null_a__isNatKind, z0) [0] a__U93(z0, z1, z2) -> U93(z0, z1, z2) [0] a__U94(tt, z0) -> s(a__length(mark(z0))) [0] a__U94(z0, z1) -> U94(z0, z1) [0] a__isNat(0) -> tt [0] a__isNat(length(nil)) -> a__U11(tt, nil) [0] a__isNat(length(zeros)) -> a__U11(tt, zeros) [0] a__isNat(length(cons(z0947, z1549))) -> a__U11(a__U51(a__isNatKind(z0947), z1549), cons(z0947, z1549)) [0] a__isNat(length(z0)) -> a__U11(isNatIListKind(z0), z0) [0] a__isNat(length(z0)) -> a__U11(null_a__isNatIListKind, z0) [0] a__isNat(s(0)) -> a__U21(tt, 0) [0] a__isNat(s(length(z0948))) -> a__U21(a__U61(a__isNatIListKind(z0948)), length(z0948)) [0] a__isNat(s(s(z0949))) -> a__U21(a__U71(a__isNatKind(z0949)), s(z0949)) [0] a__isNat(s(z0)) -> a__U21(isNatKind(z0), z0) [0] a__isNat(s(z0)) -> a__U21(null_a__isNatKind, z0) [0] a__isNat(z0) -> isNat(z0) [0] a__isNatIList(nil) -> a__U31(tt, nil) [0] a__isNatIList(zeros) -> a__U31(tt, zeros) [0] a__isNatIList(cons(z0950, z1550)) -> a__U31(a__U51(a__isNatKind(z0950), z1550), cons(z0950, z1550)) [0] a__isNatIList(z0) -> a__U31(isNatIListKind(z0), z0) [0] a__isNatIList(z0) -> a__U31(null_a__isNatIListKind, z0) [0] a__isNatIList(zeros) -> tt [0] a__isNatIList(cons(0, z1)) -> a__U41(tt, 0, z1) [0] a__isNatIList(cons(length(z0951), z1)) -> a__U41(a__U61(a__isNatIListKind(z0951)), length(z0951), z1) [0] a__isNatIList(cons(s(z0952), z1)) -> a__U41(a__U71(a__isNatKind(z0952)), s(z0952), z1) [0] a__isNatIList(cons(z0, z1)) -> a__U41(isNatKind(z0), z0, z1) [0] a__isNatIList(cons(z0, z1)) -> a__U41(null_a__isNatKind, z0, z1) [0] a__isNatIList(z0) -> isNatIList(z0) [0] a__isNatIListKind(nil) -> tt [0] a__isNatIListKind(zeros) -> tt [0] a__isNatIListKind(cons(0, z1)) -> a__U51(tt, z1) [0] a__isNatIListKind(cons(length(z0953), z1)) -> a__U51(a__U61(a__isNatIListKind(z0953)), z1) [0] a__isNatIListKind(cons(s(z0954), z1)) -> a__U51(a__U71(a__isNatKind(z0954)), z1) [0] a__isNatIListKind(cons(z0, z1)) -> a__U51(isNatKind(z0), z1) [0] a__isNatIListKind(cons(z0, z1)) -> a__U51(null_a__isNatKind, z1) [0] a__isNatIListKind(z0) -> isNatIListKind(z0) [0] a__isNatKind(0) -> tt [0] a__isNatKind(length(nil)) -> a__U61(tt) [0] a__isNatKind(length(zeros)) -> a__U61(tt) [0] a__isNatKind(length(cons(z0955, z1551))) -> a__U61(a__U51(a__isNatKind(z0955), z1551)) [0] a__isNatKind(length(z0)) -> a__U61(isNatIListKind(z0)) [0] a__isNatKind(length(z0)) -> a__U61(null_a__isNatIListKind) [0] a__isNatKind(s(0)) -> a__U71(tt) [0] a__isNatKind(s(length(z0956))) -> a__U71(a__U61(a__isNatIListKind(z0956))) [0] a__isNatKind(s(s(z0957))) -> a__U71(a__U71(a__isNatKind(z0957))) [0] a__isNatKind(s(z0)) -> a__U71(isNatKind(z0)) [0] a__isNatKind(s(z0)) -> a__U71(null_a__isNatKind) [0] a__isNatKind(z0) -> isNatKind(z0) [0] a__isNatList(nil) -> tt [0] a__isNatList(cons(0, z1)) -> a__U81(tt, 0, z1) [0] a__isNatList(cons(length(z0958), z1)) -> a__U81(a__U61(a__isNatIListKind(z0958)), length(z0958), z1) [0] a__isNatList(cons(s(z0959), z1)) -> a__U81(a__U71(a__isNatKind(z0959)), s(z0959), z1) [0] a__isNatList(cons(z0, z1)) -> a__U81(isNatKind(z0), z0, z1) [0] a__isNatList(cons(z0, z1)) -> a__U81(null_a__isNatKind, z0, z1) [0] a__isNatList(z0) -> isNatList(z0) [0] a__length(nil) -> 0 [0] a__length(cons(z0, nil)) -> a__U91(tt, nil, z0) [0] a__length(cons(z0, cons(z0960, z1552))) -> a__U91(a__U81(a__isNatKind(z0960), z0960, z1552), cons(z0960, z1552), z0) [0] a__length(cons(z0, z1)) -> a__U91(isNatList(z1), z1, z0) [0] a__length(cons(z0, z1)) -> a__U91(null_a__isNatList, z1, z0) [0] a__length(z0) -> length(z0) [0] mark(zeros) -> a__zeros [0] mark(U11(z0, z1)) -> a__U11(mark(z0), z1) [0] mark(U12(z0, z1)) -> a__U12(mark(z0), z1) [0] mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) [0] mark(U13(z0)) -> a__U13(mark(z0)) [0] mark(isNatList(z0)) -> a__isNatList(z0) [0] mark(U21(z0, z1)) -> a__U21(mark(z0), z1) [0] mark(U22(z0, z1)) -> a__U22(mark(z0), z1) [0] mark(isNatKind(z0)) -> a__isNatKind(z0) [0] mark(U23(z0)) -> a__U23(mark(z0)) [0] mark(isNat(z0)) -> a__isNat(z0) [0] mark(U31(z0, z1)) -> a__U31(mark(z0), z1) [0] mark(U32(z0, z1)) -> a__U32(mark(z0), z1) [0] mark(U33(z0)) -> a__U33(mark(z0)) [0] mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) [0] mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) [0] mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) [0] mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) [0] mark(U45(z0, z1)) -> a__U45(mark(z0), z1) [0] mark(U46(z0)) -> a__U46(mark(z0)) [0] mark(isNatIList(z0)) -> a__isNatIList(z0) [0] mark(U51(z0, z1)) -> a__U51(mark(z0), z1) [0] mark(U52(z0)) -> a__U52(mark(z0)) [0] mark(U61(z0)) -> a__U61(mark(z0)) [0] mark(U71(z0)) -> a__U71(mark(z0)) [0] mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) [0] mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) [0] mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) [0] mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) [0] mark(U85(z0, z1)) -> a__U85(mark(z0), z1) [0] mark(U86(z0)) -> a__U86(mark(z0)) [0] mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) [0] mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) [0] mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) [0] mark(U94(z0, z1)) -> a__U94(mark(z0), z1) [0] mark(length(z0)) -> a__length(mark(z0)) [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(0) -> 0 [0] mark(tt) -> tt [0] mark(s(z0)) -> s(mark(z0)) [0] mark(nil) -> nil [0] a__zeros -> null_a__zeros [0] a__U11(v0, v1) -> null_a__U11 [0] a__U12(v0, v1) -> null_a__U12 [0] a__U13(v0) -> null_a__U13 [0] a__U21(v0, v1) -> null_a__U21 [0] a__U22(v0, v1) -> null_a__U22 [0] a__U23(v0) -> null_a__U23 [0] a__U31(v0, v1) -> null_a__U31 [0] a__U32(v0, v1) -> null_a__U32 [0] a__U33(v0) -> null_a__U33 [0] a__U41(v0, v1, v2) -> null_a__U41 [0] a__U42(v0, v1, v2) -> null_a__U42 [0] a__U43(v0, v1, v2) -> null_a__U43 [0] a__U44(v0, v1, v2) -> null_a__U44 [0] a__U45(v0, v1) -> null_a__U45 [0] a__U46(v0) -> null_a__U46 [0] a__U51(v0, v1) -> null_a__U51 [0] a__U52(v0) -> null_a__U52 [0] a__U61(v0) -> null_a__U61 [0] a__U71(v0) -> null_a__U71 [0] a__U81(v0, v1, v2) -> null_a__U81 [0] a__U82(v0, v1, v2) -> null_a__U82 [0] a__U83(v0, v1, v2) -> null_a__U83 [0] a__U84(v0, v1, v2) -> null_a__U84 [0] a__U85(v0, v1) -> null_a__U85 [0] a__U86(v0) -> null_a__U86 [0] a__U91(v0, v1, v2) -> null_a__U91 [0] a__U92(v0, v1, v2) -> null_a__U92 [0] a__U93(v0, v1, v2) -> null_a__U93 [0] a__U94(v0, v1) -> null_a__U94 [0] a__isNat(v0) -> null_a__isNat [0] a__isNatIList(v0) -> null_a__isNatIList [0] a__isNatIListKind(v0) -> null_a__isNatIListKind [0] a__isNatKind(v0) -> null_a__isNatKind [0] a__isNatList(v0) -> null_a__isNatList [0] a__length(v0) -> null_a__length [0] mark(v0) -> null_mark [0] The TRS has the following type information: A__U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c2 tt :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c2 :: c4 -> c66:c70:c16:c -> c2 A__U12 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c4 a__isNatIListKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark A__ISNATILISTKIND :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c A__U21 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c8 c8 :: c10 -> c73:c74 -> c8 A__U22 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c10 a__isNatKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark A__ISNATKIND :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c73:c74 A__U41 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c20 c20 :: c22 -> c73:c74 -> c20 A__U42 :: 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c22 c22 :: c24 -> c66:c70:c16:c -> c22 A__U43 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c24 c24 :: c26 -> c66:c70:c16:c -> c24 A__U44 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c26 c26 :: c28 -> c61:c62 -> c26 A__U45 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c28 a__isNat :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c61:c62 A__U81 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c56 c56 :: c58 -> c73:c74 -> c56 A__U94 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c58 c58 :: c80 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c58 A__LENGTH :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c80 mark :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark MARK :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 length :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c61 :: c2 -> c66:c70:c16:c -> c61:c62 s :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c62 :: c8 -> c73:c74 -> c61:c62 A__ISNATILIST :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c cons :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c66 :: c20 -> c73:c74 -> c66:c70:c16:c c70 :: c32 -> c73:c74 -> c66:c70:c16:c A__U51 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c32 A__ISNATLIST :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c77 c77 :: c40 -> c73:c74 -> c77 c80 :: c52 -> c77 -> c80 a__isNatList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c83 :: c2 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U12 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c84 :: c4 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatIListKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c85 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c87 :: c77 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U21 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c88 :: c8 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U22 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c89 :: c10 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c90 :: c73:c74 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNat :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c92 :: c61:c62 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U31 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c93 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 A__U31 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c U32 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c94 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 A__U32 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c U41 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c96 :: c20 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U42 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c97 :: c22 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U43 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c98 :: c24 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U44 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c99 :: c26 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U45 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c100 :: c28 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 isNatIList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c102 :: c66:c70:c16:c -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U51 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c103 :: c32 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U81 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c107 :: c40 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U82 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c108 :: c42 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U83 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c109 :: c44 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U84 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c110 :: c46 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U85 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c111 :: c48 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U91 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c113 :: c52 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U92 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c114 :: c54 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U93 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c115 :: c56 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U94 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c116 :: c58 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c117 :: c80 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c118 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c121 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 c4 :: c77 -> c4 c10 :: c61:c62 -> c10 c16 :: c77 -> c66:c70:c16:c c28 :: c66:c70:c16:c -> c28 c32 :: c66:c70:c16:c -> c32 c48 :: c77 -> c48 c73 :: c66:c70:c16:c -> c73:c74 c74 :: c73:c74 -> c73:c74 U13 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c86 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U23 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c91 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U33 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c95 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U46 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c101 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U52 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c104 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U61 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c105 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U71 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c106 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 U86 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark null_a__isNatList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark null_a__length :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark null_mark :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark const :: c2 const1 :: c4 const2 :: c66:c70:c16:c const3 :: c8 const4 :: c10 const5 :: c73:c74 const6 :: c20 const7 :: c22 const8 :: c24 const9 :: c26 const10 :: c28 const11 :: c61:c62 const12 :: c40 const13 :: c42 const14 :: c44 const15 :: c46 const16 :: c48 const17 :: c52 const18 :: c54 const19 :: c56 const20 :: c58 const21 :: c80 const22 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112 const23 :: c32 const24 :: c77 Rewrite Strategy: INNERMOST ---------------------------------------- (55) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: tt => 2 0 => 0 zeros => 3 nil => 1 null_a__zeros => 0 null_a__U11 => 0 null_a__U12 => 0 null_a__U13 => 0 null_a__U21 => 0 null_a__U22 => 0 null_a__U23 => 0 null_a__U31 => 0 null_a__U32 => 0 null_a__U33 => 0 null_a__U41 => 0 null_a__U42 => 0 null_a__U43 => 0 null_a__U44 => 0 null_a__U45 => 0 null_a__U46 => 0 null_a__U51 => 0 null_a__U52 => 0 null_a__U61 => 0 null_a__U71 => 0 null_a__U81 => 0 null_a__U82 => 0 null_a__U83 => 0 null_a__U84 => 0 null_a__U85 => 0 null_a__U86 => 0 null_a__U91 => 0 null_a__U92 => 0 null_a__U93 => 0 null_a__U94 => 0 null_a__isNat => 0 null_a__isNatIList => 0 null_a__isNatIListKind => 0 null_a__isNatKind => 0 null_a__isNatList => 0 null_a__length => 0 null_mark => 0 const => 0 const1 => 0 const2 => 0 const3 => 0 const4 => 0 const5 => 0 const6 => 0 const7 => 0 const8 => 0 const9 => 0 const10 => 0 const11 => 0 const12 => 0 const13 => 0 const14 => 0 const15 => 0 const16 => 0 const17 => 0 const18 => 0 const19 => 0 const20 => 0 const21 => 0 const22 => 0 const23 => 0 const24 => 0 ---------------------------------------- (56) Obligation: Complexity RNTS consisting of the following rules: A__ISNAT(z) -{ 1 }-> 1 + A__U21(a__U71(a__isNatKind(z058)), 1 + z058) + A__ISNATKIND(1 + z058) :|: z = 1 + (1 + z058), z058 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(a__U61(a__isNatIListKind(z057)), 1 + z057) + A__ISNATKIND(1 + z057) :|: z = 1 + (1 + z057), z057 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(2, 0) + A__ISNATKIND(0) :|: z = 1 + 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(0, z0) + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(1 + z0, z0) + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U11(a__U51(a__isNatKind(z056), z127), 1 + z056 + z127) + A__ISNATILISTKIND(1 + z056 + z127) :|: z056 >= 0, z = 1 + (1 + z056 + z127), z127 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U11(2, 3) + A__ISNATILISTKIND(3) :|: z = 1 + 3 A__ISNAT(z) -{ 1 }-> 1 + A__U11(2, 1) + A__ISNATILISTKIND(1) :|: z = 1 + 1 A__ISNAT(z) -{ 1 }-> 1 + A__U11(0, z0) + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U11(1 + z0, z0) + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(a__U51(a__isNatKind(z0881), z1514), 1 + z0881 + z1514) :|: z0881 >= 0, z = 1 + z0881 + z1514, z1514 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(2, 3) :|: z = 3 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(2, 1) :|: z = 1 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(0, z0) :|: z = z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(1 + z0, z0) :|: z = z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(a__U71(a__isNatKind(z060)), 1 + z060, z1) + A__ISNATKIND(1 + z060) :|: z1 >= 0, z = 1 + (1 + z060) + z1, z060 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(a__U61(a__isNatIListKind(z059)), 1 + z059, z1) + A__ISNATKIND(1 + z059) :|: z = 1 + (1 + z059) + z1, z1 >= 0, z059 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(2, 0, z1) + A__ISNATKIND(0) :|: z1 >= 0, z = 1 + 0 + z1 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(1 + z0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(a__U71(a__isNatKind(z062)), z1) + A__ISNATKIND(1 + z062) :|: z1 >= 0, z062 >= 0, z = 1 + (1 + z062) + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(a__U61(a__isNatIListKind(z061)), z1) + A__ISNATKIND(1 + z061) :|: z1 >= 0, z061 >= 0, z = 1 + (1 + z061) + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(2, z1) + A__ISNATKIND(0) :|: z1 >= 0, z = 1 + 0 + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(1 + z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATKIND(z) -{ 1 }-> 1 + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNATKIND(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(a__U71(a__isNatKind(z064)), 1 + z064, z1) + A__ISNATKIND(1 + z064) :|: z1 >= 0, z064 >= 0, z = 1 + (1 + z064) + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(a__U61(a__isNatIListKind(z063)), 1 + z063, z1) + A__ISNATKIND(1 + z063) :|: z063 >= 0, z1 >= 0, z = 1 + (1 + z063) + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(2, 0, z1) + A__ISNATKIND(0) :|: z1 >= 0, z = 1 + 0 + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(1 + z0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__LENGTH(z) -{ 1 }-> 1 + A__U91(a__U81(a__isNatKind(z065), z065, z128), 1 + z065 + z128, z0) + A__ISNATLIST(1 + z065 + z128) :|: z = 1 + z0 + (1 + z065 + z128), z128 >= 0, z0 >= 0, z065 >= 0 A__LENGTH(z) -{ 1 }-> 1 + A__U91(2, 1, z0) + A__ISNATLIST(1) :|: z0 >= 0, z = 1 + z0 + 1 A__LENGTH(z) -{ 1 }-> 1 + A__U91(0, z1, z0) + A__ISNATLIST(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__LENGTH(z) -{ 1 }-> 1 + A__U91(1 + z1, z1, z0) + A__ISNATLIST(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__U11(z, z') -{ 1 }-> 1 + A__U12(a__U51(a__isNatKind(z0'), z1'), 1 + z0' + z1') + A__ISNATILISTKIND(1 + z0' + z1') :|: z = 2, z0' >= 0, z1' >= 0, z' = 1 + z0' + z1' A__U11(z, z') -{ 1 }-> 1 + A__U12(2, 3) + A__ISNATILISTKIND(3) :|: z = 2, z' = 3 A__U11(z, z') -{ 1 }-> 1 + A__U12(2, 1) + A__ISNATILISTKIND(1) :|: z = 2, z' = 1 A__U11(z, z') -{ 1 }-> 1 + A__U12(0, z0) + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U11(z, z') -{ 1 }-> 1 + A__U12(1 + z0, z0) + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U12(z, z') -{ 1 }-> 1 + A__ISNATLIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U21(z, z') -{ 1 }-> 1 + A__U22(a__U71(a__isNatKind(z01)), 1 + z01) + A__ISNATKIND(1 + z01) :|: z = 2, z01 >= 0, z' = 1 + z01 A__U21(z, z') -{ 1 }-> 1 + A__U22(a__U61(a__isNatIListKind(z0'')), 1 + z0'') + A__ISNATKIND(1 + z0'') :|: z = 2, z' = 1 + z0'', z0'' >= 0 A__U21(z, z') -{ 1 }-> 1 + A__U22(2, 0) + A__ISNATKIND(0) :|: z = 2, z' = 0 A__U21(z, z') -{ 1 }-> 1 + A__U22(0, z0) + A__ISNATKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U21(z, z') -{ 1 }-> 1 + A__U22(1 + z0, z0) + A__ISNATKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U22(z, z') -{ 1 }-> 1 + A__ISNAT(z0) :|: z = 2, z0 >= 0, z' = z0 A__U31(z, z') -{ 1 }-> 1 + A__U32(a__U51(a__isNatKind(z0880), z1513), 1 + z0880 + z1513) :|: z = 2, z1513 >= 0, z0880 >= 0, z' = 1 + z0880 + z1513 A__U31(z, z') -{ 1 }-> 1 + A__U32(2, 3) :|: z = 2, z' = 3 A__U31(z, z') -{ 1 }-> 1 + A__U32(2, 1) :|: z = 2, z' = 1 A__U31(z, z') -{ 1 }-> 1 + A__U32(0, z0) :|: z = 2, z0 >= 0, z' = z0 A__U31(z, z') -{ 1 }-> 1 + A__U32(1 + z0, z0) :|: z = 2, z0 >= 0, z' = z0 A__U31(z, z') -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U32(z, z') -{ 1 }-> 1 + A__ISNATLIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(a__U71(a__isNatKind(z03)), 1 + z03, z1) + A__ISNATKIND(1 + z03) :|: z = 2, z1 >= 0, z' = 1 + z03, z03 >= 0, z'' = z1 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(a__U61(a__isNatIListKind(z02)), 1 + z02, z1) + A__ISNATKIND(1 + z02) :|: z = 2, z1 >= 0, z02 >= 0, z' = 1 + z02, z'' = z1 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(2, 0, z1) + A__ISNATKIND(0) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(0, z0, z1) + A__ISNATKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(1 + z0, z0, z1) + A__ISNATKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(a__U51(a__isNatKind(z04), z1''), z0, 1 + z04 + z1'') + A__ISNATILISTKIND(1 + z04 + z1'') :|: z = 2, z04 >= 0, z'' = 1 + z04 + z1'', z0 >= 0, z' = z0, z1'' >= 0 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(2, z0, 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(2, z0, 1) + A__ISNATILISTKIND(1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(0, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(1 + z1, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(a__U51(a__isNatKind(z05), z11), z0, 1 + z05 + z11) + A__ISNATILISTKIND(1 + z05 + z11) :|: z = 2, z11 >= 0, z'' = 1 + z05 + z11, z0 >= 0, z05 >= 0, z' = z0 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(2, z0, 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(2, z0, 1) + A__ISNATILISTKIND(1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(0, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(1 + z1, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(a__U21(a__isNatKind(z07), z07), z1) + A__ISNAT(1 + z07) :|: z = 2, z1 >= 0, z07 >= 0, z' = 1 + z07, z'' = z1 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(a__U11(a__isNatIListKind(z06), z06), z1) + A__ISNAT(1 + z06) :|: z = 2, z1 >= 0, z06 >= 0, z' = 1 + z06, z'' = z1 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(2, z1) + A__ISNAT(0) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(0, z1) + A__ISNAT(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(1 + z0, z1) + A__ISNAT(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U45(z, z') -{ 1 }-> 1 + A__ISNATILIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U51(z, z') -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(a__U71(a__isNatKind(z09)), 1 + z09, z1) + A__ISNATKIND(1 + z09) :|: z = 2, z1 >= 0, z' = 1 + z09, z09 >= 0, z'' = z1 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(a__U61(a__isNatIListKind(z08)), 1 + z08, z1) + A__ISNATKIND(1 + z08) :|: z = 2, z08 >= 0, z1 >= 0, z' = 1 + z08, z'' = z1 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(2, 0, z1) + A__ISNATKIND(0) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(0, z0, z1) + A__ISNATKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(1 + z0, z0, z1) + A__ISNATKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(a__U51(a__isNatKind(z010), z12), z0, 1 + z010 + z12) + A__ISNATILISTKIND(1 + z010 + z12) :|: z = 2, z'' = 1 + z010 + z12, z0 >= 0, z12 >= 0, z' = z0, z010 >= 0 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(2, z0, 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(2, z0, 1) + A__ISNATILISTKIND(1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(0, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(1 + z1, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(a__U51(a__isNatKind(z011), z13), z0, 1 + z011 + z13) + A__ISNATILISTKIND(1 + z011 + z13) :|: z = 2, z011 >= 0, z'' = 1 + z011 + z13, z0 >= 0, z' = z0, z13 >= 0 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(2, z0, 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(2, z0, 1) + A__ISNATILISTKIND(1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(0, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(1 + z1, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(a__U21(a__isNatKind(z013), z013), z1) + A__ISNAT(1 + z013) :|: z = 2, z1 >= 0, z013 >= 0, z' = 1 + z013, z'' = z1 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(a__U11(a__isNatIListKind(z012), z012), z1) + A__ISNAT(1 + z012) :|: z = 2, z1 >= 0, z' = 1 + z012, z012 >= 0, z'' = z1 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(2, z1) + A__ISNAT(0) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(0, z1) + A__ISNAT(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(1 + z0, z1) + A__ISNAT(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U85(z, z') -{ 1 }-> 1 + A__ISNATLIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(a__U51(a__isNatKind(z014), z14), 1 + z014 + z14, z1) + A__ISNATILISTKIND(1 + z014 + z14) :|: z = 2, z' = 1 + z014 + z14, z1 >= 0, z014 >= 0, z14 >= 0, z'' = z1 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(2, 3, z1) + A__ISNATILISTKIND(3) :|: z = 2, z' = 3, z1 >= 0, z'' = z1 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(2, 1, z1) + A__ISNATILISTKIND(1) :|: z = 2, z1 >= 0, z' = 1, z'' = z1 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(0, z0, z1) + A__ISNATILISTKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(1 + z0, z0, z1) + A__ISNATILISTKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(a__U21(a__isNatKind(z016), z016), z0, 1 + z016) + A__ISNAT(1 + z016) :|: z = 2, z'' = 1 + z016, z0 >= 0, z016 >= 0, z' = z0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(a__U11(a__isNatIListKind(z015), z015), z0, 1 + z015) + A__ISNAT(1 + z015) :|: z = 2, z'' = 1 + z015, z015 >= 0, z0 >= 0, z' = z0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(2, z0, 0) + A__ISNAT(0) :|: z = 2, z'' = 0, z0 >= 0, z' = z0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(0, z0, z1) + A__ISNAT(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(1 + z1, z0, z1) + A__ISNAT(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(a__U71(a__isNatKind(z018)), z0) + A__ISNATKIND(1 + z018) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 + z018, z018 >= 0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(a__U61(a__isNatIListKind(z017)), z0) + A__ISNATKIND(1 + z017) :|: z = 2, z'' = 1 + z017, z0 >= 0, z' = z0, z017 >= 0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(2, z0) + A__ISNATKIND(0) :|: z = 2, z'' = 0, z0 >= 0, z' = z0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(0, z0) + A__ISNATKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(1 + z1, z0) + A__ISNATKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U94(z, z') -{ 1 }-> 1 + A__LENGTH(mark(z0)) + MARK(z0) :|: z = 2, z0 >= 0, z' = z0 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__ISNATLIST(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATILIST(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNAT(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__U94(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U93(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U92(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U91(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U85(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U84(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U83(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U82(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U81(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U51(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U45(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U44(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U43(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U42(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U41(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U32(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U31(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U22(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U21(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U12(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U11(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__LENGTH(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0 a__U11(z, z') -{ 0 }-> a__U12(a__U51(a__isNatKind(z0882), z1515), 1 + z0882 + z1515) :|: z = 2, z' = 1 + z0882 + z1515, z0882 >= 0, z1515 >= 0 a__U11(z, z') -{ 0 }-> a__U12(2, 3) :|: z = 2, z' = 3 a__U11(z, z') -{ 0 }-> a__U12(2, 1) :|: z = 2, z' = 1 a__U11(z, z') -{ 0 }-> a__U12(0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U11(z, z') -{ 0 }-> a__U12(1 + z0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U11(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U11(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U12(z, z') -{ 0 }-> a__U13(a__U81(a__isNatKind(z0883), z0883, z1516)) :|: z = 2, z1516 >= 0, z' = 1 + z0883 + z1516, z0883 >= 0 a__U12(z, z') -{ 0 }-> a__U13(2) :|: z = 2, z' = 1 a__U12(z, z') -{ 0 }-> a__U13(0) :|: z = 2, z0 >= 0, z' = z0 a__U12(z, z') -{ 0 }-> a__U13(1 + z0) :|: z = 2, z0 >= 0, z' = z0 a__U12(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U12(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U13(z) -{ 0 }-> 2 :|: z = 2 a__U13(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U13(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U21(z, z') -{ 0 }-> a__U22(a__U71(a__isNatKind(z0885)), 1 + z0885) :|: z = 2, z' = 1 + z0885, z0885 >= 0 a__U21(z, z') -{ 0 }-> a__U22(a__U61(a__isNatIListKind(z0884)), 1 + z0884) :|: z = 2, z' = 1 + z0884, z0884 >= 0 a__U21(z, z') -{ 0 }-> a__U22(2, 0) :|: z = 2, z' = 0 a__U21(z, z') -{ 0 }-> a__U22(0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U21(z, z') -{ 0 }-> a__U22(1 + z0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U21(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U21(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U22(z, z') -{ 0 }-> a__U23(a__U21(a__isNatKind(z0887), z0887)) :|: z = 2, z0887 >= 0, z' = 1 + z0887 a__U22(z, z') -{ 0 }-> a__U23(a__U11(a__isNatIListKind(z0886), z0886)) :|: z = 2, z0886 >= 0, z' = 1 + z0886 a__U22(z, z') -{ 0 }-> a__U23(2) :|: z = 2, z' = 0 a__U22(z, z') -{ 0 }-> a__U23(0) :|: z = 2, z0 >= 0, z' = z0 a__U22(z, z') -{ 0 }-> a__U23(1 + z0) :|: z = 2, z0 >= 0, z' = z0 a__U22(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U22(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U23(z) -{ 0 }-> 2 :|: z = 2 a__U23(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U23(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U31(z, z') -{ 0 }-> a__U32(a__U51(a__isNatKind(z0888), z1517), 1 + z0888 + z1517) :|: z = 2, z1517 >= 0, z0888 >= 0, z' = 1 + z0888 + z1517 a__U31(z, z') -{ 0 }-> a__U32(2, 3) :|: z = 2, z' = 3 a__U31(z, z') -{ 0 }-> a__U32(2, 1) :|: z = 2, z' = 1 a__U31(z, z') -{ 0 }-> a__U32(0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U31(z, z') -{ 0 }-> a__U32(1 + z0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U31(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U31(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U32(z, z') -{ 0 }-> a__U33(a__U81(a__isNatKind(z0889), z0889, z1518)) :|: z = 2, z1518 >= 0, z0889 >= 0, z' = 1 + z0889 + z1518 a__U32(z, z') -{ 0 }-> a__U33(2) :|: z = 2, z' = 1 a__U32(z, z') -{ 0 }-> a__U33(0) :|: z = 2, z0 >= 0, z' = z0 a__U32(z, z') -{ 0 }-> a__U33(1 + z0) :|: z = 2, z0 >= 0, z' = z0 a__U32(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U32(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U33(z) -{ 0 }-> 2 :|: z = 2 a__U33(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U33(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U41(z, z', z'') -{ 0 }-> a__U42(a__U71(a__isNatKind(z0891)), 1 + z0891, z1) :|: z = 2, z1 >= 0, z0891 >= 0, z' = 1 + z0891, z'' = z1 a__U41(z, z', z'') -{ 0 }-> a__U42(a__U61(a__isNatIListKind(z0890)), 1 + z0890, z1) :|: z = 2, z' = 1 + z0890, z1 >= 0, z0890 >= 0, z'' = z1 a__U41(z, z', z'') -{ 0 }-> a__U42(2, 0, z1) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 a__U41(z, z', z'') -{ 0 }-> a__U42(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U41(z, z', z'') -{ 0 }-> a__U42(1 + z0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U41(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U41(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U42(z, z', z'') -{ 0 }-> a__U43(a__U51(a__isNatKind(z0892), z1519), z0, 1 + z0892 + z1519) :|: z = 2, z0892 >= 0, z0 >= 0, z1519 >= 0, z'' = 1 + z0892 + z1519, z' = z0 a__U42(z, z', z'') -{ 0 }-> a__U43(2, z0, 3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 a__U42(z, z', z'') -{ 0 }-> a__U43(2, z0, 1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 a__U42(z, z', z'') -{ 0 }-> a__U43(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U42(z, z', z'') -{ 0 }-> a__U43(1 + z1, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U42(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U42(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U43(z, z', z'') -{ 0 }-> a__U44(a__U51(a__isNatKind(z0893), z1520), z0, 1 + z0893 + z1520) :|: z = 2, z1520 >= 0, z'' = 1 + z0893 + z1520, z0 >= 0, z0893 >= 0, z' = z0 a__U43(z, z', z'') -{ 0 }-> a__U44(2, z0, 3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 a__U43(z, z', z'') -{ 0 }-> a__U44(2, z0, 1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 a__U43(z, z', z'') -{ 0 }-> a__U44(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U43(z, z', z'') -{ 0 }-> a__U44(1 + z1, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U43(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U43(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U44(z, z', z'') -{ 0 }-> a__U45(a__U21(a__isNatKind(z0895), z0895), z1) :|: z = 2, z1 >= 0, z' = 1 + z0895, z'' = z1, z0895 >= 0 a__U44(z, z', z'') -{ 0 }-> a__U45(a__U11(a__isNatIListKind(z0894), z0894), z1) :|: z = 2, z1 >= 0, z' = 1 + z0894, z0894 >= 0, z'' = z1 a__U44(z, z', z'') -{ 0 }-> a__U45(2, z1) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 a__U44(z, z', z'') -{ 0 }-> a__U45(0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U44(z, z', z'') -{ 0 }-> a__U45(1 + z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U44(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U44(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U45(z, z') -{ 0 }-> a__U46(a__U41(a__isNatKind(z0896), z0896, z1521)) :|: z = 2, z1521 >= 0, z' = 1 + z0896 + z1521, z0896 >= 0 a__U45(z, z') -{ 0 }-> a__U46(a__U31(a__isNatIListKind(z0), z0)) :|: z = 2, z0 >= 0, z' = z0 a__U45(z, z') -{ 0 }-> a__U46(2) :|: z = 2, z' = 3 a__U45(z, z') -{ 0 }-> a__U46(0) :|: z = 2, z0 >= 0, z' = z0 a__U45(z, z') -{ 0 }-> a__U46(1 + z0) :|: z = 2, z0 >= 0, z' = z0 a__U45(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U45(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U46(z) -{ 0 }-> 2 :|: z = 2 a__U46(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U46(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U51(z, z') -{ 0 }-> a__U52(a__U51(a__isNatKind(z0897), z1522)) :|: z = 2, z' = 1 + z0897 + z1522, z0897 >= 0, z1522 >= 0 a__U51(z, z') -{ 0 }-> a__U52(2) :|: z = 2, z' = 1 a__U51(z, z') -{ 0 }-> a__U52(2) :|: z = 2, z' = 3 a__U51(z, z') -{ 0 }-> a__U52(0) :|: z = 2, z0 >= 0, z' = z0 a__U51(z, z') -{ 0 }-> a__U52(1 + z0) :|: z = 2, z0 >= 0, z' = z0 a__U51(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U51(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U52(z) -{ 0 }-> 2 :|: z = 2 a__U52(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U52(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U61(z) -{ 0 }-> 2 :|: z = 2 a__U61(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U61(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U71(z) -{ 0 }-> 2 :|: z = 2 a__U71(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U71(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U81(z, z', z'') -{ 0 }-> a__U82(a__U71(a__isNatKind(z0899)), 1 + z0899, z1) :|: z = 2, z1 >= 0, z0899 >= 0, z' = 1 + z0899, z'' = z1 a__U81(z, z', z'') -{ 0 }-> a__U82(a__U61(a__isNatIListKind(z0898)), 1 + z0898, z1) :|: z = 2, z1 >= 0, z0898 >= 0, z' = 1 + z0898, z'' = z1 a__U81(z, z', z'') -{ 0 }-> a__U82(2, 0, z1) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 a__U81(z, z', z'') -{ 0 }-> a__U82(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U81(z, z', z'') -{ 0 }-> a__U82(1 + z0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U81(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U81(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U82(z, z', z'') -{ 0 }-> a__U83(a__U51(a__isNatKind(z0900), z1523), z0, 1 + z0900 + z1523) :|: z = 2, z0900 >= 0, z1523 >= 0, z0 >= 0, z'' = 1 + z0900 + z1523, z' = z0 a__U82(z, z', z'') -{ 0 }-> a__U83(2, z0, 3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 a__U82(z, z', z'') -{ 0 }-> a__U83(2, z0, 1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 a__U82(z, z', z'') -{ 0 }-> a__U83(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U82(z, z', z'') -{ 0 }-> a__U83(1 + z1, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U82(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U82(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U83(z, z', z'') -{ 0 }-> a__U84(a__U51(a__isNatKind(z0901), z1524), z0, 1 + z0901 + z1524) :|: z = 2, z0901 >= 0, z'' = 1 + z0901 + z1524, z0 >= 0, z' = z0, z1524 >= 0 a__U83(z, z', z'') -{ 0 }-> a__U84(2, z0, 3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 a__U83(z, z', z'') -{ 0 }-> a__U84(2, z0, 1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 a__U83(z, z', z'') -{ 0 }-> a__U84(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U83(z, z', z'') -{ 0 }-> a__U84(1 + z1, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U83(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U83(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U84(z, z', z'') -{ 0 }-> a__U85(a__U21(a__isNatKind(z0903), z0903), z1) :|: z = 2, z1 >= 0, z' = 1 + z0903, z0903 >= 0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> a__U85(a__U11(a__isNatIListKind(z0902), z0902), z1) :|: z = 2, z' = 1 + z0902, z1 >= 0, z0902 >= 0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> a__U85(2, z1) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> a__U85(0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> a__U85(1 + z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U84(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U85(z, z') -{ 0 }-> a__U86(a__U81(a__isNatKind(z0904), z0904, z1525)) :|: z = 2, z' = 1 + z0904 + z1525, z1525 >= 0, z0904 >= 0 a__U85(z, z') -{ 0 }-> a__U86(2) :|: z = 2, z' = 1 a__U85(z, z') -{ 0 }-> a__U86(0) :|: z = 2, z0 >= 0, z' = z0 a__U85(z, z') -{ 0 }-> a__U86(1 + z0) :|: z = 2, z0 >= 0, z' = z0 a__U85(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U85(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U86(z) -{ 0 }-> 2 :|: z = 2 a__U86(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U86(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U91(z, z', z'') -{ 0 }-> a__U92(a__U51(a__isNatKind(z0905), z1526), 1 + z0905 + z1526, z1) :|: z = 2, z1 >= 0, z' = 1 + z0905 + z1526, z1526 >= 0, z0905 >= 0, z'' = z1 a__U91(z, z', z'') -{ 0 }-> a__U92(2, 3, z1) :|: z = 2, z' = 3, z1 >= 0, z'' = z1 a__U91(z, z', z'') -{ 0 }-> a__U92(2, 1, z1) :|: z = 2, z1 >= 0, z' = 1, z'' = z1 a__U91(z, z', z'') -{ 0 }-> a__U92(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U91(z, z', z'') -{ 0 }-> a__U92(1 + z0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U91(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U91(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U92(z, z', z'') -{ 0 }-> a__U93(a__U21(a__isNatKind(z0907), z0907), z0, 1 + z0907) :|: z = 2, z0907 >= 0, z0 >= 0, z'' = 1 + z0907, z' = z0 a__U92(z, z', z'') -{ 0 }-> a__U93(a__U11(a__isNatIListKind(z0906), z0906), z0, 1 + z0906) :|: z = 2, z'' = 1 + z0906, z0 >= 0, z0906 >= 0, z' = z0 a__U92(z, z', z'') -{ 0 }-> a__U93(2, z0, 0) :|: z = 2, z'' = 0, z0 >= 0, z' = z0 a__U92(z, z', z'') -{ 0 }-> a__U93(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U92(z, z', z'') -{ 0 }-> a__U93(1 + z1, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U92(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U92(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U93(z, z', z'') -{ 0 }-> a__U94(a__U71(a__isNatKind(z0909)), z0) :|: z = 2, z0909 >= 0, z0 >= 0, z' = z0, z'' = 1 + z0909 a__U93(z, z', z'') -{ 0 }-> a__U94(a__U61(a__isNatIListKind(z0908)), z0) :|: z = 2, z0908 >= 0, z0 >= 0, z' = z0, z'' = 1 + z0908 a__U93(z, z', z'') -{ 0 }-> a__U94(2, z0) :|: z = 2, z'' = 0, z0 >= 0, z' = z0 a__U93(z, z', z'') -{ 0 }-> a__U94(0, z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U93(z, z', z'') -{ 0 }-> a__U94(1 + z1, z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U93(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U93(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U94(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U94(z, z') -{ 0 }-> 1 + a__length(mark(z0)) :|: z = 2, z0 >= 0, z' = z0 a__U94(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__isNat(z) -{ 0 }-> a__U21(a__U71(a__isNatKind(z0949)), 1 + z0949) :|: z0949 >= 0, z = 1 + (1 + z0949) a__isNat(z) -{ 0 }-> a__U21(a__U61(a__isNatIListKind(z0948)), 1 + z0948) :|: z = 1 + (1 + z0948), z0948 >= 0 a__isNat(z) -{ 0 }-> a__U21(2, 0) :|: z = 1 + 0 a__isNat(z) -{ 0 }-> a__U21(0, z0) :|: z = 1 + z0, z0 >= 0 a__isNat(z) -{ 0 }-> a__U21(1 + z0, z0) :|: z = 1 + z0, z0 >= 0 a__isNat(z) -{ 0 }-> a__U11(a__U51(a__isNatKind(z0947), z1549), 1 + z0947 + z1549) :|: z1549 >= 0, z0947 >= 0, z = 1 + (1 + z0947 + z1549) a__isNat(z) -{ 0 }-> a__U11(2, 3) :|: z = 1 + 3 a__isNat(z) -{ 0 }-> a__U11(2, 1) :|: z = 1 + 1 a__isNat(z) -{ 0 }-> a__U11(0, z0) :|: z = 1 + z0, z0 >= 0 a__isNat(z) -{ 0 }-> a__U11(1 + z0, z0) :|: z = 1 + z0, z0 >= 0 a__isNat(z) -{ 0 }-> 2 :|: z = 0 a__isNat(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNat(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatIList(z) -{ 0 }-> a__U41(a__U71(a__isNatKind(z0952)), 1 + z0952, z1) :|: z1 >= 0, z0952 >= 0, z = 1 + (1 + z0952) + z1 a__isNatIList(z) -{ 0 }-> a__U41(a__U61(a__isNatIListKind(z0951)), 1 + z0951, z1) :|: z1 >= 0, z0951 >= 0, z = 1 + (1 + z0951) + z1 a__isNatIList(z) -{ 0 }-> a__U41(2, 0, z1) :|: z1 >= 0, z = 1 + 0 + z1 a__isNatIList(z) -{ 0 }-> a__U41(0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIList(z) -{ 0 }-> a__U41(1 + z0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIList(z) -{ 0 }-> a__U31(a__U51(a__isNatKind(z0950), z1550), 1 + z0950 + z1550) :|: z0950 >= 0, z1550 >= 0, z = 1 + z0950 + z1550 a__isNatIList(z) -{ 0 }-> a__U31(2, 3) :|: z = 3 a__isNatIList(z) -{ 0 }-> a__U31(2, 1) :|: z = 1 a__isNatIList(z) -{ 0 }-> a__U31(0, z0) :|: z = z0, z0 >= 0 a__isNatIList(z) -{ 0 }-> a__U31(1 + z0, z0) :|: z = z0, z0 >= 0 a__isNatIList(z) -{ 0 }-> 2 :|: z = 3 a__isNatIList(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatIList(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(a__U71(a__isNatKind(z0954)), z1) :|: z1 >= 0, z = 1 + (1 + z0954) + z1, z0954 >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(a__U61(a__isNatIListKind(z0953)), z1) :|: z1 >= 0, z = 1 + (1 + z0953) + z1, z0953 >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(2, z1) :|: z1 >= 0, z = 1 + 0 + z1 a__isNatIListKind(z) -{ 0 }-> a__U51(0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIListKind(z) -{ 0 }-> a__U51(1 + z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIListKind(z) -{ 0 }-> 2 :|: z = 1 a__isNatIListKind(z) -{ 0 }-> 2 :|: z = 3 a__isNatIListKind(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatIListKind(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> a__U71(a__U71(a__isNatKind(z0957))) :|: z = 1 + (1 + z0957), z0957 >= 0 a__isNatKind(z) -{ 0 }-> a__U71(a__U61(a__isNatIListKind(z0956))) :|: z = 1 + (1 + z0956), z0956 >= 0 a__isNatKind(z) -{ 0 }-> a__U71(2) :|: z = 1 + 0 a__isNatKind(z) -{ 0 }-> a__U71(0) :|: z = 1 + z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> a__U71(1 + z0) :|: z = 1 + z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> a__U61(a__U51(a__isNatKind(z0955), z1551)) :|: z1551 >= 0, z = 1 + (1 + z0955 + z1551), z0955 >= 0 a__isNatKind(z) -{ 0 }-> a__U61(2) :|: z = 1 + 1 a__isNatKind(z) -{ 0 }-> a__U61(2) :|: z = 1 + 3 a__isNatKind(z) -{ 0 }-> a__U61(0) :|: z = 1 + z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> a__U61(1 + z0) :|: z = 1 + z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> 2 :|: z = 0 a__isNatKind(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatKind(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatList(z) -{ 0 }-> a__U81(a__U71(a__isNatKind(z0959)), 1 + z0959, z1) :|: z1 >= 0, z0959 >= 0, z = 1 + (1 + z0959) + z1 a__isNatList(z) -{ 0 }-> a__U81(a__U61(a__isNatIListKind(z0958)), 1 + z0958, z1) :|: z1 >= 0, z = 1 + (1 + z0958) + z1, z0958 >= 0 a__isNatList(z) -{ 0 }-> a__U81(2, 0, z1) :|: z1 >= 0, z = 1 + 0 + z1 a__isNatList(z) -{ 0 }-> a__U81(0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatList(z) -{ 0 }-> a__U81(1 + z0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatList(z) -{ 0 }-> 2 :|: z = 1 a__isNatList(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatList(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__length(z) -{ 0 }-> a__U91(a__U81(a__isNatKind(z0960), z0960, z1552), 1 + z0960 + z1552, z0) :|: z = 1 + z0 + (1 + z0960 + z1552), z0960 >= 0, z0 >= 0, z1552 >= 0 a__length(z) -{ 0 }-> a__U91(2, 1, z0) :|: z0 >= 0, z = 1 + z0 + 1 a__length(z) -{ 0 }-> a__U91(0, z1, z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__length(z) -{ 0 }-> a__U91(1 + z1, z1, z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__length(z) -{ 0 }-> 0 :|: z = 1 a__length(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__length(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__zeros -{ 0 }-> 3 :|: a__zeros -{ 0 }-> 0 :|: a__zeros -{ 0 }-> 1 + 0 + 3 :|: mark(z) -{ 0 }-> a__zeros :|: z = 3 mark(z) -{ 0 }-> a__length(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatList(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatKind(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatIListKind(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatIList(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNat(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U94(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U93(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U92(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U91(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U86(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U85(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U84(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U83(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U82(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U81(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U71(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U61(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U52(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U51(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U46(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U45(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U44(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U43(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U42(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U41(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U33(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U32(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U31(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U23(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U22(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U21(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U13(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U12(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U11(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 2 :|: z = 2 mark(z) -{ 0 }-> 1 :|: z = 1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + mark(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ---------------------------------------- (57) InliningProof (UPPER BOUND(ID)) Inlined the following terminating rules on right-hand sides where appropriate: a__zeros -{ 0 }-> 3 :|: a__zeros -{ 0 }-> 0 :|: a__zeros -{ 0 }-> 1 + 0 + 3 :|: a__U13(z) -{ 0 }-> 2 :|: z = 2 a__U13(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U13(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U23(z) -{ 0 }-> 2 :|: z = 2 a__U23(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U23(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U33(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U33(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U33(z) -{ 0 }-> 2 :|: z = 2 a__U46(z) -{ 0 }-> 2 :|: z = 2 a__U46(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U46(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U52(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U52(z) -{ 0 }-> 2 :|: z = 2 a__U52(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U61(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U61(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U61(z) -{ 0 }-> 2 :|: z = 2 a__U71(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U71(z) -{ 0 }-> 2 :|: z = 2 a__U71(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U86(z) -{ 0 }-> 2 :|: z = 2 a__U86(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U86(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 ---------------------------------------- (58) Obligation: Complexity RNTS consisting of the following rules: A__ISNAT(z) -{ 1 }-> 1 + A__U21(a__U71(a__isNatKind(z058)), 1 + z058) + A__ISNATKIND(1 + z058) :|: z = 1 + (1 + z058), z058 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(a__U61(a__isNatIListKind(z057)), 1 + z057) + A__ISNATKIND(1 + z057) :|: z = 1 + (1 + z057), z057 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(2, 0) + A__ISNATKIND(0) :|: z = 1 + 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(0, z0) + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(1 + z0, z0) + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U11(a__U51(a__isNatKind(z056), z127), 1 + z056 + z127) + A__ISNATILISTKIND(1 + z056 + z127) :|: z056 >= 0, z = 1 + (1 + z056 + z127), z127 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U11(2, 3) + A__ISNATILISTKIND(3) :|: z = 1 + 3 A__ISNAT(z) -{ 1 }-> 1 + A__U11(2, 1) + A__ISNATILISTKIND(1) :|: z = 1 + 1 A__ISNAT(z) -{ 1 }-> 1 + A__U11(0, z0) + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U11(1 + z0, z0) + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(a__U51(a__isNatKind(z0881), z1514), 1 + z0881 + z1514) :|: z0881 >= 0, z = 1 + z0881 + z1514, z1514 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(2, 3) :|: z = 3 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(2, 1) :|: z = 1 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(0, z0) :|: z = z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(1 + z0, z0) :|: z = z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(a__U71(a__isNatKind(z060)), 1 + z060, z1) + A__ISNATKIND(1 + z060) :|: z1 >= 0, z = 1 + (1 + z060) + z1, z060 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(a__U61(a__isNatIListKind(z059)), 1 + z059, z1) + A__ISNATKIND(1 + z059) :|: z = 1 + (1 + z059) + z1, z1 >= 0, z059 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(2, 0, z1) + A__ISNATKIND(0) :|: z1 >= 0, z = 1 + 0 + z1 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(1 + z0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(a__U71(a__isNatKind(z062)), z1) + A__ISNATKIND(1 + z062) :|: z1 >= 0, z062 >= 0, z = 1 + (1 + z062) + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(a__U61(a__isNatIListKind(z061)), z1) + A__ISNATKIND(1 + z061) :|: z1 >= 0, z061 >= 0, z = 1 + (1 + z061) + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(2, z1) + A__ISNATKIND(0) :|: z1 >= 0, z = 1 + 0 + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(1 + z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATKIND(z) -{ 1 }-> 1 + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNATKIND(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(a__U71(a__isNatKind(z064)), 1 + z064, z1) + A__ISNATKIND(1 + z064) :|: z1 >= 0, z064 >= 0, z = 1 + (1 + z064) + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(a__U61(a__isNatIListKind(z063)), 1 + z063, z1) + A__ISNATKIND(1 + z063) :|: z063 >= 0, z1 >= 0, z = 1 + (1 + z063) + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(2, 0, z1) + A__ISNATKIND(0) :|: z1 >= 0, z = 1 + 0 + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(1 + z0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__LENGTH(z) -{ 1 }-> 1 + A__U91(a__U81(a__isNatKind(z065), z065, z128), 1 + z065 + z128, z0) + A__ISNATLIST(1 + z065 + z128) :|: z = 1 + z0 + (1 + z065 + z128), z128 >= 0, z0 >= 0, z065 >= 0 A__LENGTH(z) -{ 1 }-> 1 + A__U91(2, 1, z0) + A__ISNATLIST(1) :|: z0 >= 0, z = 1 + z0 + 1 A__LENGTH(z) -{ 1 }-> 1 + A__U91(0, z1, z0) + A__ISNATLIST(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__LENGTH(z) -{ 1 }-> 1 + A__U91(1 + z1, z1, z0) + A__ISNATLIST(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__U11(z, z') -{ 1 }-> 1 + A__U12(a__U51(a__isNatKind(z0'), z1'), 1 + z0' + z1') + A__ISNATILISTKIND(1 + z0' + z1') :|: z = 2, z0' >= 0, z1' >= 0, z' = 1 + z0' + z1' A__U11(z, z') -{ 1 }-> 1 + A__U12(2, 3) + A__ISNATILISTKIND(3) :|: z = 2, z' = 3 A__U11(z, z') -{ 1 }-> 1 + A__U12(2, 1) + A__ISNATILISTKIND(1) :|: z = 2, z' = 1 A__U11(z, z') -{ 1 }-> 1 + A__U12(0, z0) + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U11(z, z') -{ 1 }-> 1 + A__U12(1 + z0, z0) + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U12(z, z') -{ 1 }-> 1 + A__ISNATLIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U21(z, z') -{ 1 }-> 1 + A__U22(a__U71(a__isNatKind(z01)), 1 + z01) + A__ISNATKIND(1 + z01) :|: z = 2, z01 >= 0, z' = 1 + z01 A__U21(z, z') -{ 1 }-> 1 + A__U22(a__U61(a__isNatIListKind(z0'')), 1 + z0'') + A__ISNATKIND(1 + z0'') :|: z = 2, z' = 1 + z0'', z0'' >= 0 A__U21(z, z') -{ 1 }-> 1 + A__U22(2, 0) + A__ISNATKIND(0) :|: z = 2, z' = 0 A__U21(z, z') -{ 1 }-> 1 + A__U22(0, z0) + A__ISNATKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U21(z, z') -{ 1 }-> 1 + A__U22(1 + z0, z0) + A__ISNATKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U22(z, z') -{ 1 }-> 1 + A__ISNAT(z0) :|: z = 2, z0 >= 0, z' = z0 A__U31(z, z') -{ 1 }-> 1 + A__U32(a__U51(a__isNatKind(z0880), z1513), 1 + z0880 + z1513) :|: z = 2, z1513 >= 0, z0880 >= 0, z' = 1 + z0880 + z1513 A__U31(z, z') -{ 1 }-> 1 + A__U32(2, 3) :|: z = 2, z' = 3 A__U31(z, z') -{ 1 }-> 1 + A__U32(2, 1) :|: z = 2, z' = 1 A__U31(z, z') -{ 1 }-> 1 + A__U32(0, z0) :|: z = 2, z0 >= 0, z' = z0 A__U31(z, z') -{ 1 }-> 1 + A__U32(1 + z0, z0) :|: z = 2, z0 >= 0, z' = z0 A__U31(z, z') -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U32(z, z') -{ 1 }-> 1 + A__ISNATLIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(a__U71(a__isNatKind(z03)), 1 + z03, z1) + A__ISNATKIND(1 + z03) :|: z = 2, z1 >= 0, z' = 1 + z03, z03 >= 0, z'' = z1 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(a__U61(a__isNatIListKind(z02)), 1 + z02, z1) + A__ISNATKIND(1 + z02) :|: z = 2, z1 >= 0, z02 >= 0, z' = 1 + z02, z'' = z1 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(2, 0, z1) + A__ISNATKIND(0) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(0, z0, z1) + A__ISNATKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(1 + z0, z0, z1) + A__ISNATKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(a__U51(a__isNatKind(z04), z1''), z0, 1 + z04 + z1'') + A__ISNATILISTKIND(1 + z04 + z1'') :|: z = 2, z04 >= 0, z'' = 1 + z04 + z1'', z0 >= 0, z' = z0, z1'' >= 0 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(2, z0, 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(2, z0, 1) + A__ISNATILISTKIND(1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(0, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(1 + z1, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(a__U51(a__isNatKind(z05), z11), z0, 1 + z05 + z11) + A__ISNATILISTKIND(1 + z05 + z11) :|: z = 2, z11 >= 0, z'' = 1 + z05 + z11, z0 >= 0, z05 >= 0, z' = z0 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(2, z0, 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(2, z0, 1) + A__ISNATILISTKIND(1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(0, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(1 + z1, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(a__U21(a__isNatKind(z07), z07), z1) + A__ISNAT(1 + z07) :|: z = 2, z1 >= 0, z07 >= 0, z' = 1 + z07, z'' = z1 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(a__U11(a__isNatIListKind(z06), z06), z1) + A__ISNAT(1 + z06) :|: z = 2, z1 >= 0, z06 >= 0, z' = 1 + z06, z'' = z1 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(2, z1) + A__ISNAT(0) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(0, z1) + A__ISNAT(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(1 + z0, z1) + A__ISNAT(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U45(z, z') -{ 1 }-> 1 + A__ISNATILIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U51(z, z') -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(a__U71(a__isNatKind(z09)), 1 + z09, z1) + A__ISNATKIND(1 + z09) :|: z = 2, z1 >= 0, z' = 1 + z09, z09 >= 0, z'' = z1 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(a__U61(a__isNatIListKind(z08)), 1 + z08, z1) + A__ISNATKIND(1 + z08) :|: z = 2, z08 >= 0, z1 >= 0, z' = 1 + z08, z'' = z1 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(2, 0, z1) + A__ISNATKIND(0) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(0, z0, z1) + A__ISNATKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(1 + z0, z0, z1) + A__ISNATKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(a__U51(a__isNatKind(z010), z12), z0, 1 + z010 + z12) + A__ISNATILISTKIND(1 + z010 + z12) :|: z = 2, z'' = 1 + z010 + z12, z0 >= 0, z12 >= 0, z' = z0, z010 >= 0 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(2, z0, 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(2, z0, 1) + A__ISNATILISTKIND(1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(0, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(1 + z1, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(a__U51(a__isNatKind(z011), z13), z0, 1 + z011 + z13) + A__ISNATILISTKIND(1 + z011 + z13) :|: z = 2, z011 >= 0, z'' = 1 + z011 + z13, z0 >= 0, z' = z0, z13 >= 0 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(2, z0, 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(2, z0, 1) + A__ISNATILISTKIND(1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(0, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(1 + z1, z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(a__U21(a__isNatKind(z013), z013), z1) + A__ISNAT(1 + z013) :|: z = 2, z1 >= 0, z013 >= 0, z' = 1 + z013, z'' = z1 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(a__U11(a__isNatIListKind(z012), z012), z1) + A__ISNAT(1 + z012) :|: z = 2, z1 >= 0, z' = 1 + z012, z012 >= 0, z'' = z1 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(2, z1) + A__ISNAT(0) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(0, z1) + A__ISNAT(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(1 + z0, z1) + A__ISNAT(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U85(z, z') -{ 1 }-> 1 + A__ISNATLIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(a__U51(a__isNatKind(z014), z14), 1 + z014 + z14, z1) + A__ISNATILISTKIND(1 + z014 + z14) :|: z = 2, z' = 1 + z014 + z14, z1 >= 0, z014 >= 0, z14 >= 0, z'' = z1 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(2, 3, z1) + A__ISNATILISTKIND(3) :|: z = 2, z' = 3, z1 >= 0, z'' = z1 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(2, 1, z1) + A__ISNATILISTKIND(1) :|: z = 2, z1 >= 0, z' = 1, z'' = z1 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(0, z0, z1) + A__ISNATILISTKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(1 + z0, z0, z1) + A__ISNATILISTKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(a__U21(a__isNatKind(z016), z016), z0, 1 + z016) + A__ISNAT(1 + z016) :|: z = 2, z'' = 1 + z016, z0 >= 0, z016 >= 0, z' = z0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(a__U11(a__isNatIListKind(z015), z015), z0, 1 + z015) + A__ISNAT(1 + z015) :|: z = 2, z'' = 1 + z015, z015 >= 0, z0 >= 0, z' = z0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(2, z0, 0) + A__ISNAT(0) :|: z = 2, z'' = 0, z0 >= 0, z' = z0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(0, z0, z1) + A__ISNAT(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(1 + z1, z0, z1) + A__ISNAT(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(a__U71(a__isNatKind(z018)), z0) + A__ISNATKIND(1 + z018) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 + z018, z018 >= 0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(a__U61(a__isNatIListKind(z017)), z0) + A__ISNATKIND(1 + z017) :|: z = 2, z'' = 1 + z017, z0 >= 0, z' = z0, z017 >= 0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(2, z0) + A__ISNATKIND(0) :|: z = 2, z'' = 0, z0 >= 0, z' = z0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(0, z0) + A__ISNATKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(1 + z1, z0) + A__ISNATKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U94(z, z') -{ 1 }-> 1 + A__LENGTH(mark(z0)) + MARK(z0) :|: z = 2, z0 >= 0, z' = z0 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__ISNATLIST(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATILIST(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNAT(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__U94(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U93(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U92(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U91(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U85(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U84(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U83(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U82(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U81(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U51(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U45(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U44(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U43(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U42(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U41(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U32(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U31(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U22(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U21(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U12(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U11(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__LENGTH(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0 a__U11(z, z') -{ 0 }-> a__U12(a__U51(a__isNatKind(z0882), z1515), 1 + z0882 + z1515) :|: z = 2, z' = 1 + z0882 + z1515, z0882 >= 0, z1515 >= 0 a__U11(z, z') -{ 0 }-> a__U12(2, 3) :|: z = 2, z' = 3 a__U11(z, z') -{ 0 }-> a__U12(2, 1) :|: z = 2, z' = 1 a__U11(z, z') -{ 0 }-> a__U12(0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U11(z, z') -{ 0 }-> a__U12(1 + z0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U11(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U11(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U12(z, z') -{ 0 }-> a__U13(a__U81(a__isNatKind(z0883), z0883, z1516)) :|: z = 2, z1516 >= 0, z' = 1 + z0883 + z1516, z0883 >= 0 a__U12(z, z') -{ 0 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U12(z, z') -{ 0 }-> 2 :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = 2 a__U12(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U12(z, z') -{ 0 }-> 0 :|: z = 2, z' = 1, v0 >= 0, 2 = v0 a__U12(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 1 + z0 = v0 a__U12(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 0 = v0 a__U12(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 1, 2 = z0, z0 >= 0 a__U12(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = z0', z0' >= 0 a__U12(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 0 = z0', z0' >= 0 a__U12(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U13(z) -{ 0 }-> 2 :|: z = 2 a__U13(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U13(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U21(z, z') -{ 0 }-> a__U22(a__U71(a__isNatKind(z0885)), 1 + z0885) :|: z = 2, z' = 1 + z0885, z0885 >= 0 a__U21(z, z') -{ 0 }-> a__U22(a__U61(a__isNatIListKind(z0884)), 1 + z0884) :|: z = 2, z' = 1 + z0884, z0884 >= 0 a__U21(z, z') -{ 0 }-> a__U22(2, 0) :|: z = 2, z' = 0 a__U21(z, z') -{ 0 }-> a__U22(0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U21(z, z') -{ 0 }-> a__U22(1 + z0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U21(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U21(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U22(z, z') -{ 0 }-> a__U23(a__U21(a__isNatKind(z0887), z0887)) :|: z = 2, z0887 >= 0, z' = 1 + z0887 a__U22(z, z') -{ 0 }-> a__U23(a__U11(a__isNatIListKind(z0886), z0886)) :|: z = 2, z0886 >= 0, z' = 1 + z0886 a__U22(z, z') -{ 0 }-> 2 :|: z = 2, z' = 0, 2 = 2 a__U22(z, z') -{ 0 }-> 2 :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = 2 a__U22(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U22(z, z') -{ 0 }-> 0 :|: z = 2, z' = 0, v0 >= 0, 2 = v0 a__U22(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 1 + z0 = v0 a__U22(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 0 = v0 a__U22(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 0, 2 = z0, z0 >= 0 a__U22(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = z0', z0' >= 0 a__U22(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 0 = z0', z0' >= 0 a__U22(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U23(z) -{ 0 }-> 2 :|: z = 2 a__U23(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U23(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U31(z, z') -{ 0 }-> a__U32(a__U51(a__isNatKind(z0888), z1517), 1 + z0888 + z1517) :|: z = 2, z1517 >= 0, z0888 >= 0, z' = 1 + z0888 + z1517 a__U31(z, z') -{ 0 }-> a__U32(2, 3) :|: z = 2, z' = 3 a__U31(z, z') -{ 0 }-> a__U32(2, 1) :|: z = 2, z' = 1 a__U31(z, z') -{ 0 }-> a__U32(0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U31(z, z') -{ 0 }-> a__U32(1 + z0, z0) :|: z = 2, z0 >= 0, z' = z0 a__U31(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U31(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U32(z, z') -{ 0 }-> a__U33(a__U81(a__isNatKind(z0889), z0889, z1518)) :|: z = 2, z1518 >= 0, z0889 >= 0, z' = 1 + z0889 + z1518 a__U32(z, z') -{ 0 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U32(z, z') -{ 0 }-> 2 :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = 2 a__U32(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U32(z, z') -{ 0 }-> 0 :|: z = 2, z' = 1, v0 >= 0, 2 = v0 a__U32(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 1 + z0 = v0 a__U32(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 0 = v0 a__U32(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 1, 2 = z0, z0 >= 0 a__U32(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = z0', z0' >= 0 a__U32(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 0 = z0', z0' >= 0 a__U32(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U33(z) -{ 0 }-> 2 :|: z = 2 a__U33(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U33(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U41(z, z', z'') -{ 0 }-> a__U42(a__U71(a__isNatKind(z0891)), 1 + z0891, z1) :|: z = 2, z1 >= 0, z0891 >= 0, z' = 1 + z0891, z'' = z1 a__U41(z, z', z'') -{ 0 }-> a__U42(a__U61(a__isNatIListKind(z0890)), 1 + z0890, z1) :|: z = 2, z' = 1 + z0890, z1 >= 0, z0890 >= 0, z'' = z1 a__U41(z, z', z'') -{ 0 }-> a__U42(2, 0, z1) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 a__U41(z, z', z'') -{ 0 }-> a__U42(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U41(z, z', z'') -{ 0 }-> a__U42(1 + z0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U41(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U41(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U42(z, z', z'') -{ 0 }-> a__U43(a__U51(a__isNatKind(z0892), z1519), z0, 1 + z0892 + z1519) :|: z = 2, z0892 >= 0, z0 >= 0, z1519 >= 0, z'' = 1 + z0892 + z1519, z' = z0 a__U42(z, z', z'') -{ 0 }-> a__U43(2, z0, 3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 a__U42(z, z', z'') -{ 0 }-> a__U43(2, z0, 1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 a__U42(z, z', z'') -{ 0 }-> a__U43(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U42(z, z', z'') -{ 0 }-> a__U43(1 + z1, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U42(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U42(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U43(z, z', z'') -{ 0 }-> a__U44(a__U51(a__isNatKind(z0893), z1520), z0, 1 + z0893 + z1520) :|: z = 2, z1520 >= 0, z'' = 1 + z0893 + z1520, z0 >= 0, z0893 >= 0, z' = z0 a__U43(z, z', z'') -{ 0 }-> a__U44(2, z0, 3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 a__U43(z, z', z'') -{ 0 }-> a__U44(2, z0, 1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 a__U43(z, z', z'') -{ 0 }-> a__U44(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U43(z, z', z'') -{ 0 }-> a__U44(1 + z1, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U43(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U43(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U44(z, z', z'') -{ 0 }-> a__U45(a__U21(a__isNatKind(z0895), z0895), z1) :|: z = 2, z1 >= 0, z' = 1 + z0895, z'' = z1, z0895 >= 0 a__U44(z, z', z'') -{ 0 }-> a__U45(a__U11(a__isNatIListKind(z0894), z0894), z1) :|: z = 2, z1 >= 0, z' = 1 + z0894, z0894 >= 0, z'' = z1 a__U44(z, z', z'') -{ 0 }-> a__U45(2, z1) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 a__U44(z, z', z'') -{ 0 }-> a__U45(0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U44(z, z', z'') -{ 0 }-> a__U45(1 + z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U44(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U44(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U45(z, z') -{ 0 }-> a__U46(a__U41(a__isNatKind(z0896), z0896, z1521)) :|: z = 2, z1521 >= 0, z' = 1 + z0896 + z1521, z0896 >= 0 a__U45(z, z') -{ 0 }-> a__U46(a__U31(a__isNatIListKind(z0), z0)) :|: z = 2, z0 >= 0, z' = z0 a__U45(z, z') -{ 0 }-> 2 :|: z = 2, z' = 3, 2 = 2 a__U45(z, z') -{ 0 }-> 2 :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = 2 a__U45(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U45(z, z') -{ 0 }-> 0 :|: z = 2, z' = 3, v0 >= 0, 2 = v0 a__U45(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 1 + z0 = v0 a__U45(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 0 = v0 a__U45(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 3, 2 = z0, z0 >= 0 a__U45(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = z0', z0' >= 0 a__U45(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 0 = z0', z0' >= 0 a__U45(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U46(z) -{ 0 }-> 2 :|: z = 2 a__U46(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U46(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U51(z, z') -{ 0 }-> a__U52(a__U51(a__isNatKind(z0897), z1522)) :|: z = 2, z' = 1 + z0897 + z1522, z0897 >= 0, z1522 >= 0 a__U51(z, z') -{ 0 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U51(z, z') -{ 0 }-> 2 :|: z = 2, z' = 3, 2 = 2 a__U51(z, z') -{ 0 }-> 2 :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = 2 a__U51(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U51(z, z') -{ 0 }-> 0 :|: z = 2, z' = 1, v0 >= 0, 2 = v0 a__U51(z, z') -{ 0 }-> 0 :|: z = 2, z' = 3, v0 >= 0, 2 = v0 a__U51(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 1 + z0 = v0 a__U51(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 0 = v0 a__U51(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 1, 2 = z0, z0 >= 0 a__U51(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 3, 2 = z0, z0 >= 0 a__U51(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = z0', z0' >= 0 a__U51(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 0 = z0', z0' >= 0 a__U51(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U52(z) -{ 0 }-> 2 :|: z = 2 a__U52(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U52(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U61(z) -{ 0 }-> 2 :|: z = 2 a__U61(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U61(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U71(z) -{ 0 }-> 2 :|: z = 2 a__U71(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U71(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U81(z, z', z'') -{ 0 }-> a__U82(a__U71(a__isNatKind(z0899)), 1 + z0899, z1) :|: z = 2, z1 >= 0, z0899 >= 0, z' = 1 + z0899, z'' = z1 a__U81(z, z', z'') -{ 0 }-> a__U82(a__U61(a__isNatIListKind(z0898)), 1 + z0898, z1) :|: z = 2, z1 >= 0, z0898 >= 0, z' = 1 + z0898, z'' = z1 a__U81(z, z', z'') -{ 0 }-> a__U82(2, 0, z1) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 a__U81(z, z', z'') -{ 0 }-> a__U82(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U81(z, z', z'') -{ 0 }-> a__U82(1 + z0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U81(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U81(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U82(z, z', z'') -{ 0 }-> a__U83(a__U51(a__isNatKind(z0900), z1523), z0, 1 + z0900 + z1523) :|: z = 2, z0900 >= 0, z1523 >= 0, z0 >= 0, z'' = 1 + z0900 + z1523, z' = z0 a__U82(z, z', z'') -{ 0 }-> a__U83(2, z0, 3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 a__U82(z, z', z'') -{ 0 }-> a__U83(2, z0, 1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 a__U82(z, z', z'') -{ 0 }-> a__U83(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U82(z, z', z'') -{ 0 }-> a__U83(1 + z1, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U82(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U82(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U83(z, z', z'') -{ 0 }-> a__U84(a__U51(a__isNatKind(z0901), z1524), z0, 1 + z0901 + z1524) :|: z = 2, z0901 >= 0, z'' = 1 + z0901 + z1524, z0 >= 0, z' = z0, z1524 >= 0 a__U83(z, z', z'') -{ 0 }-> a__U84(2, z0, 3) :|: z = 2, z'' = 3, z0 >= 0, z' = z0 a__U83(z, z', z'') -{ 0 }-> a__U84(2, z0, 1) :|: z = 2, z0 >= 0, z' = z0, z'' = 1 a__U83(z, z', z'') -{ 0 }-> a__U84(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U83(z, z', z'') -{ 0 }-> a__U84(1 + z1, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U83(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U83(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U84(z, z', z'') -{ 0 }-> a__U85(a__U21(a__isNatKind(z0903), z0903), z1) :|: z = 2, z1 >= 0, z' = 1 + z0903, z0903 >= 0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> a__U85(a__U11(a__isNatIListKind(z0902), z0902), z1) :|: z = 2, z' = 1 + z0902, z1 >= 0, z0902 >= 0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> a__U85(2, z1) :|: z = 2, z1 >= 0, z' = 0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> a__U85(0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> a__U85(1 + z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U84(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U85(z, z') -{ 0 }-> a__U86(a__U81(a__isNatKind(z0904), z0904, z1525)) :|: z = 2, z' = 1 + z0904 + z1525, z1525 >= 0, z0904 >= 0 a__U85(z, z') -{ 0 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U85(z, z') -{ 0 }-> 2 :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = 2 a__U85(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U85(z, z') -{ 0 }-> 0 :|: z = 2, z' = 1, v0 >= 0, 2 = v0 a__U85(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 1 + z0 = v0 a__U85(z, z') -{ 0 }-> 0 :|: z = 2, z0 >= 0, z' = z0, v0 >= 0, 0 = v0 a__U85(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 1, 2 = z0, z0 >= 0 a__U85(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 1 + z0 = z0', z0' >= 0 a__U85(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z0 >= 0, z' = z0, 0 = z0', z0' >= 0 a__U85(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U86(z) -{ 0 }-> 2 :|: z = 2 a__U86(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U86(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U91(z, z', z'') -{ 0 }-> a__U92(a__U51(a__isNatKind(z0905), z1526), 1 + z0905 + z1526, z1) :|: z = 2, z1 >= 0, z' = 1 + z0905 + z1526, z1526 >= 0, z0905 >= 0, z'' = z1 a__U91(z, z', z'') -{ 0 }-> a__U92(2, 3, z1) :|: z = 2, z' = 3, z1 >= 0, z'' = z1 a__U91(z, z', z'') -{ 0 }-> a__U92(2, 1, z1) :|: z = 2, z1 >= 0, z' = 1, z'' = z1 a__U91(z, z', z'') -{ 0 }-> a__U92(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U91(z, z', z'') -{ 0 }-> a__U92(1 + z0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U91(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U91(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U92(z, z', z'') -{ 0 }-> a__U93(a__U21(a__isNatKind(z0907), z0907), z0, 1 + z0907) :|: z = 2, z0907 >= 0, z0 >= 0, z'' = 1 + z0907, z' = z0 a__U92(z, z', z'') -{ 0 }-> a__U93(a__U11(a__isNatIListKind(z0906), z0906), z0, 1 + z0906) :|: z = 2, z'' = 1 + z0906, z0 >= 0, z0906 >= 0, z' = z0 a__U92(z, z', z'') -{ 0 }-> a__U93(2, z0, 0) :|: z = 2, z'' = 0, z0 >= 0, z' = z0 a__U92(z, z', z'') -{ 0 }-> a__U93(0, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U92(z, z', z'') -{ 0 }-> a__U93(1 + z1, z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U92(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U92(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U93(z, z', z'') -{ 0 }-> a__U94(a__U71(a__isNatKind(z0909)), z0) :|: z = 2, z0909 >= 0, z0 >= 0, z' = z0, z'' = 1 + z0909 a__U93(z, z', z'') -{ 0 }-> a__U94(a__U61(a__isNatIListKind(z0908)), z0) :|: z = 2, z0908 >= 0, z0 >= 0, z' = z0, z'' = 1 + z0908 a__U93(z, z', z'') -{ 0 }-> a__U94(2, z0) :|: z = 2, z'' = 0, z0 >= 0, z' = z0 a__U93(z, z', z'') -{ 0 }-> a__U94(0, z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U93(z, z', z'') -{ 0 }-> a__U94(1 + z1, z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U93(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U93(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U94(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U94(z, z') -{ 0 }-> 1 + a__length(mark(z0)) :|: z = 2, z0 >= 0, z' = z0 a__U94(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__isNat(z) -{ 0 }-> a__U21(a__U71(a__isNatKind(z0949)), 1 + z0949) :|: z0949 >= 0, z = 1 + (1 + z0949) a__isNat(z) -{ 0 }-> a__U21(a__U61(a__isNatIListKind(z0948)), 1 + z0948) :|: z = 1 + (1 + z0948), z0948 >= 0 a__isNat(z) -{ 0 }-> a__U21(2, 0) :|: z = 1 + 0 a__isNat(z) -{ 0 }-> a__U21(0, z0) :|: z = 1 + z0, z0 >= 0 a__isNat(z) -{ 0 }-> a__U21(1 + z0, z0) :|: z = 1 + z0, z0 >= 0 a__isNat(z) -{ 0 }-> a__U11(a__U51(a__isNatKind(z0947), z1549), 1 + z0947 + z1549) :|: z1549 >= 0, z0947 >= 0, z = 1 + (1 + z0947 + z1549) a__isNat(z) -{ 0 }-> a__U11(2, 3) :|: z = 1 + 3 a__isNat(z) -{ 0 }-> a__U11(2, 1) :|: z = 1 + 1 a__isNat(z) -{ 0 }-> a__U11(0, z0) :|: z = 1 + z0, z0 >= 0 a__isNat(z) -{ 0 }-> a__U11(1 + z0, z0) :|: z = 1 + z0, z0 >= 0 a__isNat(z) -{ 0 }-> 2 :|: z = 0 a__isNat(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNat(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatIList(z) -{ 0 }-> a__U41(a__U71(a__isNatKind(z0952)), 1 + z0952, z1) :|: z1 >= 0, z0952 >= 0, z = 1 + (1 + z0952) + z1 a__isNatIList(z) -{ 0 }-> a__U41(a__U61(a__isNatIListKind(z0951)), 1 + z0951, z1) :|: z1 >= 0, z0951 >= 0, z = 1 + (1 + z0951) + z1 a__isNatIList(z) -{ 0 }-> a__U41(2, 0, z1) :|: z1 >= 0, z = 1 + 0 + z1 a__isNatIList(z) -{ 0 }-> a__U41(0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIList(z) -{ 0 }-> a__U41(1 + z0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIList(z) -{ 0 }-> a__U31(a__U51(a__isNatKind(z0950), z1550), 1 + z0950 + z1550) :|: z0950 >= 0, z1550 >= 0, z = 1 + z0950 + z1550 a__isNatIList(z) -{ 0 }-> a__U31(2, 3) :|: z = 3 a__isNatIList(z) -{ 0 }-> a__U31(2, 1) :|: z = 1 a__isNatIList(z) -{ 0 }-> a__U31(0, z0) :|: z = z0, z0 >= 0 a__isNatIList(z) -{ 0 }-> a__U31(1 + z0, z0) :|: z = z0, z0 >= 0 a__isNatIList(z) -{ 0 }-> 2 :|: z = 3 a__isNatIList(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatIList(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(a__U71(a__isNatKind(z0954)), z1) :|: z1 >= 0, z = 1 + (1 + z0954) + z1, z0954 >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(a__U61(a__isNatIListKind(z0953)), z1) :|: z1 >= 0, z = 1 + (1 + z0953) + z1, z0953 >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(2, z1) :|: z1 >= 0, z = 1 + 0 + z1 a__isNatIListKind(z) -{ 0 }-> a__U51(0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIListKind(z) -{ 0 }-> a__U51(1 + z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIListKind(z) -{ 0 }-> 2 :|: z = 1 a__isNatIListKind(z) -{ 0 }-> 2 :|: z = 3 a__isNatIListKind(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatIListKind(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> a__U71(a__U71(a__isNatKind(z0957))) :|: z = 1 + (1 + z0957), z0957 >= 0 a__isNatKind(z) -{ 0 }-> a__U71(a__U61(a__isNatIListKind(z0956))) :|: z = 1 + (1 + z0956), z0956 >= 0 a__isNatKind(z) -{ 0 }-> a__U61(a__U51(a__isNatKind(z0955), z1551)) :|: z1551 >= 0, z = 1 + (1 + z0955 + z1551), z0955 >= 0 a__isNatKind(z) -{ 0 }-> 2 :|: z = 0 a__isNatKind(z) -{ 0 }-> 2 :|: z = 1 + 1, 2 = 2 a__isNatKind(z) -{ 0 }-> 2 :|: z = 1 + 3, 2 = 2 a__isNatKind(z) -{ 0 }-> 2 :|: z = 1 + z0, z0 >= 0, 1 + z0 = 2 a__isNatKind(z) -{ 0 }-> 2 :|: z = 1 + 0, 2 = 2 a__isNatKind(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatKind(z) -{ 0 }-> 0 :|: z = 1 + 1, v0 >= 0, 2 = v0 a__isNatKind(z) -{ 0 }-> 0 :|: z = 1 + 3, v0 >= 0, 2 = v0 a__isNatKind(z) -{ 0 }-> 0 :|: z = 1 + z0, z0 >= 0, v0 >= 0, 1 + z0 = v0 a__isNatKind(z) -{ 0 }-> 0 :|: z = 1 + z0, z0 >= 0, v0 >= 0, 0 = v0 a__isNatKind(z) -{ 0 }-> 0 :|: z = 1 + 0, v0 >= 0, 2 = v0 a__isNatKind(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> 1 + z0 :|: z = 1 + 1, 2 = z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> 1 + z0 :|: z = 1 + 3, 2 = z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> 1 + z0 :|: z = 1 + 0, 2 = z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> 1 + z0' :|: z = 1 + z0, z0 >= 0, 1 + z0 = z0', z0' >= 0 a__isNatKind(z) -{ 0 }-> 1 + z0' :|: z = 1 + z0, z0 >= 0, 0 = z0', z0' >= 0 a__isNatList(z) -{ 0 }-> a__U81(a__U71(a__isNatKind(z0959)), 1 + z0959, z1) :|: z1 >= 0, z0959 >= 0, z = 1 + (1 + z0959) + z1 a__isNatList(z) -{ 0 }-> a__U81(a__U61(a__isNatIListKind(z0958)), 1 + z0958, z1) :|: z1 >= 0, z = 1 + (1 + z0958) + z1, z0958 >= 0 a__isNatList(z) -{ 0 }-> a__U81(2, 0, z1) :|: z1 >= 0, z = 1 + 0 + z1 a__isNatList(z) -{ 0 }-> a__U81(0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatList(z) -{ 0 }-> a__U81(1 + z0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatList(z) -{ 0 }-> 2 :|: z = 1 a__isNatList(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatList(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__length(z) -{ 0 }-> a__U91(a__U81(a__isNatKind(z0960), z0960, z1552), 1 + z0960 + z1552, z0) :|: z = 1 + z0 + (1 + z0960 + z1552), z0960 >= 0, z0 >= 0, z1552 >= 0 a__length(z) -{ 0 }-> a__U91(2, 1, z0) :|: z0 >= 0, z = 1 + z0 + 1 a__length(z) -{ 0 }-> a__U91(0, z1, z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__length(z) -{ 0 }-> a__U91(1 + z1, z1, z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__length(z) -{ 0 }-> 0 :|: z = 1 a__length(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__length(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__zeros -{ 0 }-> 3 :|: a__zeros -{ 0 }-> 0 :|: a__zeros -{ 0 }-> 1 + 0 + 3 :|: mark(z) -{ 0 }-> a__length(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatList(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatKind(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatIListKind(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatIList(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNat(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U94(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U93(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U92(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U91(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U86(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U85(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U84(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U83(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U82(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U81(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U71(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U61(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U52(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U51(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U46(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U45(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U44(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U43(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U42(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U41(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U33(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U32(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U31(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U23(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U22(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U21(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U13(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U12(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U11(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 3 :|: z = 3 mark(z) -{ 0 }-> 2 :|: z = 2 mark(z) -{ 0 }-> 1 :|: z = 1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 0 :|: z = 3 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 mark(z) -{ 0 }-> 1 + 0 + 3 :|: z = 3 ---------------------------------------- (59) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (60) Obligation: Complexity RNTS consisting of the following rules: A__ISNAT(z) -{ 1 }-> 1 + A__U21(a__U71(a__isNatKind(z - 2)), 1 + (z - 2)) + A__ISNATKIND(1 + (z - 2)) :|: z - 2 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(a__U61(a__isNatIListKind(z - 2)), 1 + (z - 2)) + A__ISNATKIND(1 + (z - 2)) :|: z - 2 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(2, 0) + A__ISNATKIND(0) :|: z = 1 + 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(0, z - 1) + A__ISNATKIND(z - 1) :|: z - 1 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(1 + (z - 1), z - 1) + A__ISNATKIND(z - 1) :|: z - 1 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U11(a__U51(a__isNatKind(z056), z127), 1 + z056 + z127) + A__ISNATILISTKIND(1 + z056 + z127) :|: z056 >= 0, z = 1 + (1 + z056 + z127), z127 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U11(2, 3) + A__ISNATILISTKIND(3) :|: z = 1 + 3 A__ISNAT(z) -{ 1 }-> 1 + A__U11(2, 1) + A__ISNATILISTKIND(1) :|: z = 1 + 1 A__ISNAT(z) -{ 1 }-> 1 + A__U11(0, z - 1) + A__ISNATILISTKIND(z - 1) :|: z - 1 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U11(1 + (z - 1), z - 1) + A__ISNATILISTKIND(z - 1) :|: z - 1 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(a__U51(a__isNatKind(z0881), z1514), 1 + z0881 + z1514) :|: z0881 >= 0, z = 1 + z0881 + z1514, z1514 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(2, 3) :|: z = 3 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(2, 1) :|: z = 1 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(0, z) :|: z >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(1 + z, z) :|: z >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z) :|: z >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(a__U71(a__isNatKind(z060)), 1 + z060, z1) + A__ISNATKIND(1 + z060) :|: z1 >= 0, z = 1 + (1 + z060) + z1, z060 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(a__U61(a__isNatIListKind(z059)), 1 + z059, z1) + A__ISNATKIND(1 + z059) :|: z = 1 + (1 + z059) + z1, z1 >= 0, z059 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(2, 0, z - 1) + A__ISNATKIND(0) :|: z - 1 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(1 + z0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(a__U71(a__isNatKind(z062)), z1) + A__ISNATKIND(1 + z062) :|: z1 >= 0, z062 >= 0, z = 1 + (1 + z062) + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(a__U61(a__isNatIListKind(z061)), z1) + A__ISNATKIND(1 + z061) :|: z1 >= 0, z061 >= 0, z = 1 + (1 + z061) + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(2, z - 1) + A__ISNATKIND(0) :|: z - 1 >= 0 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(1 + z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATKIND(z) -{ 1 }-> 1 + A__ISNATKIND(z - 1) :|: z - 1 >= 0 A__ISNATKIND(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z - 1) :|: z - 1 >= 0 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(a__U71(a__isNatKind(z064)), 1 + z064, z1) + A__ISNATKIND(1 + z064) :|: z1 >= 0, z064 >= 0, z = 1 + (1 + z064) + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(a__U61(a__isNatIListKind(z063)), 1 + z063, z1) + A__ISNATKIND(1 + z063) :|: z063 >= 0, z1 >= 0, z = 1 + (1 + z063) + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(2, 0, z - 1) + A__ISNATKIND(0) :|: z - 1 >= 0 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(1 + z0, z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__LENGTH(z) -{ 1 }-> 1 + A__U91(a__U81(a__isNatKind(z065), z065, z128), 1 + z065 + z128, z0) + A__ISNATLIST(1 + z065 + z128) :|: z = 1 + z0 + (1 + z065 + z128), z128 >= 0, z0 >= 0, z065 >= 0 A__LENGTH(z) -{ 1 }-> 1 + A__U91(2, 1, z - 2) + A__ISNATLIST(1) :|: z - 2 >= 0 A__LENGTH(z) -{ 1 }-> 1 + A__U91(0, z1, z0) + A__ISNATLIST(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__LENGTH(z) -{ 1 }-> 1 + A__U91(1 + z1, z1, z0) + A__ISNATLIST(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__U11(z, z') -{ 1 }-> 1 + A__U12(a__U51(a__isNatKind(z0'), z1'), 1 + z0' + z1') + A__ISNATILISTKIND(1 + z0' + z1') :|: z = 2, z0' >= 0, z1' >= 0, z' = 1 + z0' + z1' A__U11(z, z') -{ 1 }-> 1 + A__U12(2, 3) + A__ISNATILISTKIND(3) :|: z = 2, z' = 3 A__U11(z, z') -{ 1 }-> 1 + A__U12(2, 1) + A__ISNATILISTKIND(1) :|: z = 2, z' = 1 A__U11(z, z') -{ 1 }-> 1 + A__U12(0, z') + A__ISNATILISTKIND(z') :|: z = 2, z' >= 0 A__U11(z, z') -{ 1 }-> 1 + A__U12(1 + z', z') + A__ISNATILISTKIND(z') :|: z = 2, z' >= 0 A__U12(z, z') -{ 1 }-> 1 + A__ISNATLIST(z') :|: z = 2, z' >= 0 A__U21(z, z') -{ 1 }-> 1 + A__U22(a__U71(a__isNatKind(z' - 1)), 1 + (z' - 1)) + A__ISNATKIND(1 + (z' - 1)) :|: z = 2, z' - 1 >= 0 A__U21(z, z') -{ 1 }-> 1 + A__U22(a__U61(a__isNatIListKind(z' - 1)), 1 + (z' - 1)) + A__ISNATKIND(1 + (z' - 1)) :|: z = 2, z' - 1 >= 0 A__U21(z, z') -{ 1 }-> 1 + A__U22(2, 0) + A__ISNATKIND(0) :|: z = 2, z' = 0 A__U21(z, z') -{ 1 }-> 1 + A__U22(0, z') + A__ISNATKIND(z') :|: z = 2, z' >= 0 A__U21(z, z') -{ 1 }-> 1 + A__U22(1 + z', z') + A__ISNATKIND(z') :|: z = 2, z' >= 0 A__U22(z, z') -{ 1 }-> 1 + A__ISNAT(z') :|: z = 2, z' >= 0 A__U31(z, z') -{ 1 }-> 1 + A__U32(a__U51(a__isNatKind(z0880), z1513), 1 + z0880 + z1513) :|: z = 2, z1513 >= 0, z0880 >= 0, z' = 1 + z0880 + z1513 A__U31(z, z') -{ 1 }-> 1 + A__U32(2, 3) :|: z = 2, z' = 3 A__U31(z, z') -{ 1 }-> 1 + A__U32(2, 1) :|: z = 2, z' = 1 A__U31(z, z') -{ 1 }-> 1 + A__U32(0, z') :|: z = 2, z' >= 0 A__U31(z, z') -{ 1 }-> 1 + A__U32(1 + z', z') :|: z = 2, z' >= 0 A__U31(z, z') -{ 1 }-> 1 + A__ISNATILISTKIND(z') :|: z = 2, z' >= 0 A__U32(z, z') -{ 1 }-> 1 + A__ISNATLIST(z') :|: z = 2, z' >= 0 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(a__U71(a__isNatKind(z' - 1)), 1 + (z' - 1), z'') + A__ISNATKIND(1 + (z' - 1)) :|: z = 2, z'' >= 0, z' - 1 >= 0 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(a__U61(a__isNatIListKind(z' - 1)), 1 + (z' - 1), z'') + A__ISNATKIND(1 + (z' - 1)) :|: z = 2, z'' >= 0, z' - 1 >= 0 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(2, 0, z'') + A__ISNATKIND(0) :|: z = 2, z'' >= 0, z' = 0 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(0, z', z'') + A__ISNATKIND(z') :|: z = 2, z'' >= 0, z' >= 0 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(1 + z', z', z'') + A__ISNATKIND(z') :|: z = 2, z'' >= 0, z' >= 0 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(a__U51(a__isNatKind(z04), z1''), z', 1 + z04 + z1'') + A__ISNATILISTKIND(1 + z04 + z1'') :|: z = 2, z04 >= 0, z'' = 1 + z04 + z1'', z' >= 0, z1'' >= 0 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(2, z', 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z' >= 0 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(2, z', 1) + A__ISNATILISTKIND(1) :|: z = 2, z' >= 0, z'' = 1 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(0, z', z'') + A__ISNATILISTKIND(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(1 + z'', z', z'') + A__ISNATILISTKIND(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(a__U51(a__isNatKind(z05), z11), z', 1 + z05 + z11) + A__ISNATILISTKIND(1 + z05 + z11) :|: z = 2, z11 >= 0, z'' = 1 + z05 + z11, z' >= 0, z05 >= 0 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(2, z', 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z' >= 0 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(2, z', 1) + A__ISNATILISTKIND(1) :|: z = 2, z' >= 0, z'' = 1 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(0, z', z'') + A__ISNATILISTKIND(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(1 + z'', z', z'') + A__ISNATILISTKIND(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(a__U21(a__isNatKind(z' - 1), z' - 1), z'') + A__ISNAT(1 + (z' - 1)) :|: z = 2, z'' >= 0, z' - 1 >= 0 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(a__U11(a__isNatIListKind(z' - 1), z' - 1), z'') + A__ISNAT(1 + (z' - 1)) :|: z = 2, z'' >= 0, z' - 1 >= 0 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(2, z'') + A__ISNAT(0) :|: z = 2, z'' >= 0, z' = 0 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(0, z'') + A__ISNAT(z') :|: z = 2, z'' >= 0, z' >= 0 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(1 + z', z'') + A__ISNAT(z') :|: z = 2, z'' >= 0, z' >= 0 A__U45(z, z') -{ 1 }-> 1 + A__ISNATILIST(z') :|: z = 2, z' >= 0 A__U51(z, z') -{ 1 }-> 1 + A__ISNATILISTKIND(z') :|: z = 2, z' >= 0 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(a__U71(a__isNatKind(z' - 1)), 1 + (z' - 1), z'') + A__ISNATKIND(1 + (z' - 1)) :|: z = 2, z'' >= 0, z' - 1 >= 0 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(a__U61(a__isNatIListKind(z' - 1)), 1 + (z' - 1), z'') + A__ISNATKIND(1 + (z' - 1)) :|: z = 2, z' - 1 >= 0, z'' >= 0 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(2, 0, z'') + A__ISNATKIND(0) :|: z = 2, z'' >= 0, z' = 0 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(0, z', z'') + A__ISNATKIND(z') :|: z = 2, z'' >= 0, z' >= 0 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(1 + z', z', z'') + A__ISNATKIND(z') :|: z = 2, z'' >= 0, z' >= 0 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(a__U51(a__isNatKind(z010), z12), z', 1 + z010 + z12) + A__ISNATILISTKIND(1 + z010 + z12) :|: z = 2, z'' = 1 + z010 + z12, z' >= 0, z12 >= 0, z010 >= 0 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(2, z', 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z' >= 0 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(2, z', 1) + A__ISNATILISTKIND(1) :|: z = 2, z' >= 0, z'' = 1 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(0, z', z'') + A__ISNATILISTKIND(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(1 + z'', z', z'') + A__ISNATILISTKIND(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(a__U51(a__isNatKind(z011), z13), z', 1 + z011 + z13) + A__ISNATILISTKIND(1 + z011 + z13) :|: z = 2, z011 >= 0, z'' = 1 + z011 + z13, z' >= 0, z13 >= 0 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(2, z', 3) + A__ISNATILISTKIND(3) :|: z = 2, z'' = 3, z' >= 0 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(2, z', 1) + A__ISNATILISTKIND(1) :|: z = 2, z' >= 0, z'' = 1 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(0, z', z'') + A__ISNATILISTKIND(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(1 + z'', z', z'') + A__ISNATILISTKIND(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(a__U21(a__isNatKind(z' - 1), z' - 1), z'') + A__ISNAT(1 + (z' - 1)) :|: z = 2, z'' >= 0, z' - 1 >= 0 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(a__U11(a__isNatIListKind(z' - 1), z' - 1), z'') + A__ISNAT(1 + (z' - 1)) :|: z = 2, z'' >= 0, z' - 1 >= 0 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(2, z'') + A__ISNAT(0) :|: z = 2, z'' >= 0, z' = 0 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(0, z'') + A__ISNAT(z') :|: z = 2, z'' >= 0, z' >= 0 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(1 + z', z'') + A__ISNAT(z') :|: z = 2, z'' >= 0, z' >= 0 A__U85(z, z') -{ 1 }-> 1 + A__ISNATLIST(z') :|: z = 2, z' >= 0 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(a__U51(a__isNatKind(z014), z14), 1 + z014 + z14, z'') + A__ISNATILISTKIND(1 + z014 + z14) :|: z = 2, z' = 1 + z014 + z14, z'' >= 0, z014 >= 0, z14 >= 0 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(2, 3, z'') + A__ISNATILISTKIND(3) :|: z = 2, z' = 3, z'' >= 0 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(2, 1, z'') + A__ISNATILISTKIND(1) :|: z = 2, z'' >= 0, z' = 1 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(0, z', z'') + A__ISNATILISTKIND(z') :|: z = 2, z'' >= 0, z' >= 0 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(1 + z', z', z'') + A__ISNATILISTKIND(z') :|: z = 2, z'' >= 0, z' >= 0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(a__U21(a__isNatKind(z'' - 1), z'' - 1), z', 1 + (z'' - 1)) + A__ISNAT(1 + (z'' - 1)) :|: z = 2, z' >= 0, z'' - 1 >= 0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(a__U11(a__isNatIListKind(z'' - 1), z'' - 1), z', 1 + (z'' - 1)) + A__ISNAT(1 + (z'' - 1)) :|: z = 2, z'' - 1 >= 0, z' >= 0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(2, z', 0) + A__ISNAT(0) :|: z = 2, z'' = 0, z' >= 0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(0, z', z'') + A__ISNAT(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(1 + z'', z', z'') + A__ISNAT(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(a__U71(a__isNatKind(z'' - 1)), z') + A__ISNATKIND(1 + (z'' - 1)) :|: z = 2, z' >= 0, z'' - 1 >= 0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(a__U61(a__isNatIListKind(z'' - 1)), z') + A__ISNATKIND(1 + (z'' - 1)) :|: z = 2, z' >= 0, z'' - 1 >= 0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(2, z') + A__ISNATKIND(0) :|: z = 2, z'' = 0, z' >= 0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(0, z') + A__ISNATKIND(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(1 + z'', z') + A__ISNATKIND(z'') :|: z = 2, z'' >= 0, z' >= 0 A__U94(z, z') -{ 1 }-> 1 + A__LENGTH(mark(z')) + MARK(z') :|: z = 2, 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__ISNATLIST(z - 1) :|: z - 1 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATKIND(z - 1) :|: z - 1 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z - 1) :|: z - 1 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATILIST(z - 1) :|: z - 1 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNAT(z - 1) :|: z - 1 >= 0 MARK(z) -{ 1 }-> 1 + A__U94(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U93(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U92(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U91(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U85(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U84(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U83(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U82(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U81(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U51(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U45(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U44(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U43(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U42(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U41(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U32(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U31(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U22(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U21(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U12(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U11(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__LENGTH(mark(z - 1)) + MARK(z - 1) :|: z - 1 >= 0 a__U11(z, z') -{ 0 }-> a__U12(a__U51(a__isNatKind(z0882), z1515), 1 + z0882 + z1515) :|: z = 2, z' = 1 + z0882 + z1515, z0882 >= 0, z1515 >= 0 a__U11(z, z') -{ 0 }-> a__U12(2, 3) :|: z = 2, z' = 3 a__U11(z, z') -{ 0 }-> a__U12(2, 1) :|: z = 2, z' = 1 a__U11(z, z') -{ 0 }-> a__U12(0, z') :|: z = 2, z' >= 0 a__U11(z, z') -{ 0 }-> a__U12(1 + z', z') :|: z = 2, z' >= 0 a__U11(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__U11(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__U12(z, z') -{ 0 }-> a__U13(a__U81(a__isNatKind(z0883), z0883, z1516)) :|: z = 2, z1516 >= 0, z' = 1 + z0883 + z1516, z0883 >= 0 a__U12(z, z') -{ 0 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U12(z, z') -{ 0 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U12(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__U12(z, z') -{ 0 }-> 0 :|: z = 2, z' = 1, v0 >= 0, 2 = v0 a__U12(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 1 + z' = v0 a__U12(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 0 = v0 a__U12(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 1, 2 = z0, z0 >= 0 a__U12(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 1 + z' = z0', z0' >= 0 a__U12(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 0 = z0', z0' >= 0 a__U12(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__U13(z) -{ 0 }-> 2 :|: z = 2 a__U13(z) -{ 0 }-> 0 :|: z >= 0 a__U13(z) -{ 0 }-> 1 + z :|: z >= 0 a__U21(z, z') -{ 0 }-> a__U22(a__U71(a__isNatKind(z' - 1)), 1 + (z' - 1)) :|: z = 2, z' - 1 >= 0 a__U21(z, z') -{ 0 }-> a__U22(a__U61(a__isNatIListKind(z' - 1)), 1 + (z' - 1)) :|: z = 2, z' - 1 >= 0 a__U21(z, z') -{ 0 }-> a__U22(2, 0) :|: z = 2, z' = 0 a__U21(z, z') -{ 0 }-> a__U22(0, z') :|: z = 2, z' >= 0 a__U21(z, z') -{ 0 }-> a__U22(1 + z', z') :|: z = 2, z' >= 0 a__U21(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__U21(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__U22(z, z') -{ 0 }-> a__U23(a__U21(a__isNatKind(z' - 1), z' - 1)) :|: z = 2, z' - 1 >= 0 a__U22(z, z') -{ 0 }-> a__U23(a__U11(a__isNatIListKind(z' - 1), z' - 1)) :|: z = 2, z' - 1 >= 0 a__U22(z, z') -{ 0 }-> 2 :|: z = 2, z' = 0, 2 = 2 a__U22(z, z') -{ 0 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U22(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__U22(z, z') -{ 0 }-> 0 :|: z = 2, z' = 0, v0 >= 0, 2 = v0 a__U22(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 1 + z' = v0 a__U22(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 0 = v0 a__U22(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 0, 2 = z0, z0 >= 0 a__U22(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 1 + z' = z0', z0' >= 0 a__U22(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 0 = z0', z0' >= 0 a__U22(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__U23(z) -{ 0 }-> 2 :|: z = 2 a__U23(z) -{ 0 }-> 0 :|: z >= 0 a__U23(z) -{ 0 }-> 1 + z :|: z >= 0 a__U31(z, z') -{ 0 }-> a__U32(a__U51(a__isNatKind(z0888), z1517), 1 + z0888 + z1517) :|: z = 2, z1517 >= 0, z0888 >= 0, z' = 1 + z0888 + z1517 a__U31(z, z') -{ 0 }-> a__U32(2, 3) :|: z = 2, z' = 3 a__U31(z, z') -{ 0 }-> a__U32(2, 1) :|: z = 2, z' = 1 a__U31(z, z') -{ 0 }-> a__U32(0, z') :|: z = 2, z' >= 0 a__U31(z, z') -{ 0 }-> a__U32(1 + z', z') :|: z = 2, z' >= 0 a__U31(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__U31(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__U32(z, z') -{ 0 }-> a__U33(a__U81(a__isNatKind(z0889), z0889, z1518)) :|: z = 2, z1518 >= 0, z0889 >= 0, z' = 1 + z0889 + z1518 a__U32(z, z') -{ 0 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U32(z, z') -{ 0 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U32(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__U32(z, z') -{ 0 }-> 0 :|: z = 2, z' = 1, v0 >= 0, 2 = v0 a__U32(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 1 + z' = v0 a__U32(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 0 = v0 a__U32(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 1, 2 = z0, z0 >= 0 a__U32(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 1 + z' = z0', z0' >= 0 a__U32(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 0 = z0', z0' >= 0 a__U32(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__U33(z) -{ 0 }-> 2 :|: z = 2 a__U33(z) -{ 0 }-> 0 :|: z >= 0 a__U33(z) -{ 0 }-> 1 + z :|: z >= 0 a__U41(z, z', z'') -{ 0 }-> a__U42(a__U71(a__isNatKind(z' - 1)), 1 + (z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U41(z, z', z'') -{ 0 }-> a__U42(a__U61(a__isNatIListKind(z' - 1)), 1 + (z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U41(z, z', z'') -{ 0 }-> a__U42(2, 0, z'') :|: z = 2, z'' >= 0, z' = 0 a__U41(z, z', z'') -{ 0 }-> a__U42(0, z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U41(z, z', z'') -{ 0 }-> a__U42(1 + z', z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U41(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U41(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U42(z, z', z'') -{ 0 }-> a__U43(a__U51(a__isNatKind(z0892), z1519), z', 1 + z0892 + z1519) :|: z = 2, z0892 >= 0, z' >= 0, z1519 >= 0, z'' = 1 + z0892 + z1519 a__U42(z, z', z'') -{ 0 }-> a__U43(2, z', 3) :|: z = 2, z'' = 3, z' >= 0 a__U42(z, z', z'') -{ 0 }-> a__U43(2, z', 1) :|: z = 2, z' >= 0, z'' = 1 a__U42(z, z', z'') -{ 0 }-> a__U43(0, z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U42(z, z', z'') -{ 0 }-> a__U43(1 + z'', z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U42(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U42(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U43(z, z', z'') -{ 0 }-> a__U44(a__U51(a__isNatKind(z0893), z1520), z', 1 + z0893 + z1520) :|: z = 2, z1520 >= 0, z'' = 1 + z0893 + z1520, z' >= 0, z0893 >= 0 a__U43(z, z', z'') -{ 0 }-> a__U44(2, z', 3) :|: z = 2, z'' = 3, z' >= 0 a__U43(z, z', z'') -{ 0 }-> a__U44(2, z', 1) :|: z = 2, z' >= 0, z'' = 1 a__U43(z, z', z'') -{ 0 }-> a__U44(0, z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U43(z, z', z'') -{ 0 }-> a__U44(1 + z'', z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U43(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U43(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U44(z, z', z'') -{ 0 }-> a__U45(a__U21(a__isNatKind(z' - 1), z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U44(z, z', z'') -{ 0 }-> a__U45(a__U11(a__isNatIListKind(z' - 1), z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U44(z, z', z'') -{ 0 }-> a__U45(2, z'') :|: z = 2, z'' >= 0, z' = 0 a__U44(z, z', z'') -{ 0 }-> a__U45(0, z'') :|: z = 2, z'' >= 0, z' >= 0 a__U44(z, z', z'') -{ 0 }-> a__U45(1 + z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U44(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U44(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U45(z, z') -{ 0 }-> a__U46(a__U41(a__isNatKind(z0896), z0896, z1521)) :|: z = 2, z1521 >= 0, z' = 1 + z0896 + z1521, z0896 >= 0 a__U45(z, z') -{ 0 }-> a__U46(a__U31(a__isNatIListKind(z'), z')) :|: z = 2, z' >= 0 a__U45(z, z') -{ 0 }-> 2 :|: z = 2, z' = 3, 2 = 2 a__U45(z, z') -{ 0 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U45(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__U45(z, z') -{ 0 }-> 0 :|: z = 2, z' = 3, v0 >= 0, 2 = v0 a__U45(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 1 + z' = v0 a__U45(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 0 = v0 a__U45(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 3, 2 = z0, z0 >= 0 a__U45(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 1 + z' = z0', z0' >= 0 a__U45(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 0 = z0', z0' >= 0 a__U45(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__U46(z) -{ 0 }-> 2 :|: z = 2 a__U46(z) -{ 0 }-> 0 :|: z >= 0 a__U46(z) -{ 0 }-> 1 + z :|: z >= 0 a__U51(z, z') -{ 0 }-> a__U52(a__U51(a__isNatKind(z0897), z1522)) :|: z = 2, z' = 1 + z0897 + z1522, z0897 >= 0, z1522 >= 0 a__U51(z, z') -{ 0 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U51(z, z') -{ 0 }-> 2 :|: z = 2, z' = 3, 2 = 2 a__U51(z, z') -{ 0 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U51(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__U51(z, z') -{ 0 }-> 0 :|: z = 2, z' = 1, v0 >= 0, 2 = v0 a__U51(z, z') -{ 0 }-> 0 :|: z = 2, z' = 3, v0 >= 0, 2 = v0 a__U51(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 1 + z' = v0 a__U51(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 0 = v0 a__U51(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 1, 2 = z0, z0 >= 0 a__U51(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 3, 2 = z0, z0 >= 0 a__U51(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 1 + z' = z0', z0' >= 0 a__U51(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 0 = z0', z0' >= 0 a__U51(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__U52(z) -{ 0 }-> 2 :|: z = 2 a__U52(z) -{ 0 }-> 0 :|: z >= 0 a__U52(z) -{ 0 }-> 1 + z :|: z >= 0 a__U61(z) -{ 0 }-> 2 :|: z = 2 a__U61(z) -{ 0 }-> 0 :|: z >= 0 a__U61(z) -{ 0 }-> 1 + z :|: z >= 0 a__U71(z) -{ 0 }-> 2 :|: z = 2 a__U71(z) -{ 0 }-> 0 :|: z >= 0 a__U71(z) -{ 0 }-> 1 + z :|: z >= 0 a__U81(z, z', z'') -{ 0 }-> a__U82(a__U71(a__isNatKind(z' - 1)), 1 + (z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U81(z, z', z'') -{ 0 }-> a__U82(a__U61(a__isNatIListKind(z' - 1)), 1 + (z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U81(z, z', z'') -{ 0 }-> a__U82(2, 0, z'') :|: z = 2, z'' >= 0, z' = 0 a__U81(z, z', z'') -{ 0 }-> a__U82(0, z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U81(z, z', z'') -{ 0 }-> a__U82(1 + z', z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U81(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U81(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U82(z, z', z'') -{ 0 }-> a__U83(a__U51(a__isNatKind(z0900), z1523), z', 1 + z0900 + z1523) :|: z = 2, z0900 >= 0, z1523 >= 0, z' >= 0, z'' = 1 + z0900 + z1523 a__U82(z, z', z'') -{ 0 }-> a__U83(2, z', 3) :|: z = 2, z'' = 3, z' >= 0 a__U82(z, z', z'') -{ 0 }-> a__U83(2, z', 1) :|: z = 2, z' >= 0, z'' = 1 a__U82(z, z', z'') -{ 0 }-> a__U83(0, z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U82(z, z', z'') -{ 0 }-> a__U83(1 + z'', z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U82(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U82(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U83(z, z', z'') -{ 0 }-> a__U84(a__U51(a__isNatKind(z0901), z1524), z', 1 + z0901 + z1524) :|: z = 2, z0901 >= 0, z'' = 1 + z0901 + z1524, z' >= 0, z1524 >= 0 a__U83(z, z', z'') -{ 0 }-> a__U84(2, z', 3) :|: z = 2, z'' = 3, z' >= 0 a__U83(z, z', z'') -{ 0 }-> a__U84(2, z', 1) :|: z = 2, z' >= 0, z'' = 1 a__U83(z, z', z'') -{ 0 }-> a__U84(0, z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U83(z, z', z'') -{ 0 }-> a__U84(1 + z'', z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U83(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U83(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U84(z, z', z'') -{ 0 }-> a__U85(a__U21(a__isNatKind(z' - 1), z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U84(z, z', z'') -{ 0 }-> a__U85(a__U11(a__isNatIListKind(z' - 1), z' - 1), z'') :|: z = 2, z'' >= 0, z' - 1 >= 0 a__U84(z, z', z'') -{ 0 }-> a__U85(2, z'') :|: z = 2, z'' >= 0, z' = 0 a__U84(z, z', z'') -{ 0 }-> a__U85(0, z'') :|: z = 2, z'' >= 0, z' >= 0 a__U84(z, z', z'') -{ 0 }-> a__U85(1 + z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U84(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U84(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U85(z, z') -{ 0 }-> a__U86(a__U81(a__isNatKind(z0904), z0904, z1525)) :|: z = 2, z' = 1 + z0904 + z1525, z1525 >= 0, z0904 >= 0 a__U85(z, z') -{ 0 }-> 2 :|: z = 2, z' = 1, 2 = 2 a__U85(z, z') -{ 0 }-> 2 :|: z = 2, z' >= 0, 1 + z' = 2 a__U85(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__U85(z, z') -{ 0 }-> 0 :|: z = 2, z' = 1, v0 >= 0, 2 = v0 a__U85(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 1 + z' = v0 a__U85(z, z') -{ 0 }-> 0 :|: z = 2, z' >= 0, v0 >= 0, 0 = v0 a__U85(z, z') -{ 0 }-> 1 + z0 :|: z = 2, z' = 1, 2 = z0, z0 >= 0 a__U85(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 1 + z' = z0', z0' >= 0 a__U85(z, z') -{ 0 }-> 1 + z0' :|: z = 2, z' >= 0, 0 = z0', z0' >= 0 a__U85(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__U86(z) -{ 0 }-> 2 :|: z = 2 a__U86(z) -{ 0 }-> 0 :|: z >= 0 a__U86(z) -{ 0 }-> 1 + z :|: z >= 0 a__U91(z, z', z'') -{ 0 }-> a__U92(a__U51(a__isNatKind(z0905), z1526), 1 + z0905 + z1526, z'') :|: z = 2, z'' >= 0, z' = 1 + z0905 + z1526, z1526 >= 0, z0905 >= 0 a__U91(z, z', z'') -{ 0 }-> a__U92(2, 3, z'') :|: z = 2, z' = 3, z'' >= 0 a__U91(z, z', z'') -{ 0 }-> a__U92(2, 1, z'') :|: z = 2, z'' >= 0, z' = 1 a__U91(z, z', z'') -{ 0 }-> a__U92(0, z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U91(z, z', z'') -{ 0 }-> a__U92(1 + z', z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U91(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U91(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U92(z, z', z'') -{ 0 }-> a__U93(a__U21(a__isNatKind(z'' - 1), z'' - 1), z', 1 + (z'' - 1)) :|: z = 2, z'' - 1 >= 0, z' >= 0 a__U92(z, z', z'') -{ 0 }-> a__U93(a__U11(a__isNatIListKind(z'' - 1), z'' - 1), z', 1 + (z'' - 1)) :|: z = 2, z' >= 0, z'' - 1 >= 0 a__U92(z, z', z'') -{ 0 }-> a__U93(2, z', 0) :|: z = 2, z'' = 0, z' >= 0 a__U92(z, z', z'') -{ 0 }-> a__U93(0, z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U92(z, z', z'') -{ 0 }-> a__U93(1 + z'', z', z'') :|: z = 2, z'' >= 0, z' >= 0 a__U92(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U92(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U93(z, z', z'') -{ 0 }-> a__U94(a__U71(a__isNatKind(z'' - 1)), z') :|: z = 2, z'' - 1 >= 0, z' >= 0 a__U93(z, z', z'') -{ 0 }-> a__U94(a__U61(a__isNatIListKind(z'' - 1)), z') :|: z = 2, z'' - 1 >= 0, z' >= 0 a__U93(z, z', z'') -{ 0 }-> a__U94(2, z') :|: z = 2, z'' = 0, z' >= 0 a__U93(z, z', z'') -{ 0 }-> a__U94(0, z') :|: z = 2, z'' >= 0, z' >= 0 a__U93(z, z', z'') -{ 0 }-> a__U94(1 + z'', z') :|: z = 2, z'' >= 0, z' >= 0 a__U93(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0 a__U93(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z' >= 0, z >= 0, z'' >= 0 a__U94(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__U94(z, z') -{ 0 }-> 1 + a__length(mark(z')) :|: z = 2, z' >= 0 a__U94(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__isNat(z) -{ 0 }-> a__U21(a__U71(a__isNatKind(z - 2)), 1 + (z - 2)) :|: z - 2 >= 0 a__isNat(z) -{ 0 }-> a__U21(a__U61(a__isNatIListKind(z - 2)), 1 + (z - 2)) :|: z - 2 >= 0 a__isNat(z) -{ 0 }-> a__U21(2, 0) :|: z = 1 + 0 a__isNat(z) -{ 0 }-> a__U21(0, z - 1) :|: z - 1 >= 0 a__isNat(z) -{ 0 }-> a__U21(1 + (z - 1), z - 1) :|: z - 1 >= 0 a__isNat(z) -{ 0 }-> a__U11(a__U51(a__isNatKind(z0947), z1549), 1 + z0947 + z1549) :|: z1549 >= 0, z0947 >= 0, z = 1 + (1 + z0947 + z1549) a__isNat(z) -{ 0 }-> a__U11(2, 3) :|: z = 1 + 3 a__isNat(z) -{ 0 }-> a__U11(2, 1) :|: z = 1 + 1 a__isNat(z) -{ 0 }-> a__U11(0, z - 1) :|: z - 1 >= 0 a__isNat(z) -{ 0 }-> a__U11(1 + (z - 1), z - 1) :|: z - 1 >= 0 a__isNat(z) -{ 0 }-> 2 :|: z = 0 a__isNat(z) -{ 0 }-> 0 :|: z >= 0 a__isNat(z) -{ 0 }-> 1 + z :|: z >= 0 a__isNatIList(z) -{ 0 }-> a__U41(a__U71(a__isNatKind(z0952)), 1 + z0952, z1) :|: z1 >= 0, z0952 >= 0, z = 1 + (1 + z0952) + z1 a__isNatIList(z) -{ 0 }-> a__U41(a__U61(a__isNatIListKind(z0951)), 1 + z0951, z1) :|: z1 >= 0, z0951 >= 0, z = 1 + (1 + z0951) + z1 a__isNatIList(z) -{ 0 }-> a__U41(2, 0, z - 1) :|: z - 1 >= 0 a__isNatIList(z) -{ 0 }-> a__U41(0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIList(z) -{ 0 }-> a__U41(1 + z0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIList(z) -{ 0 }-> a__U31(a__U51(a__isNatKind(z0950), z1550), 1 + z0950 + z1550) :|: z0950 >= 0, z1550 >= 0, z = 1 + z0950 + z1550 a__isNatIList(z) -{ 0 }-> a__U31(2, 3) :|: z = 3 a__isNatIList(z) -{ 0 }-> a__U31(2, 1) :|: z = 1 a__isNatIList(z) -{ 0 }-> a__U31(0, z) :|: z >= 0 a__isNatIList(z) -{ 0 }-> a__U31(1 + z, z) :|: z >= 0 a__isNatIList(z) -{ 0 }-> 2 :|: z = 3 a__isNatIList(z) -{ 0 }-> 0 :|: z >= 0 a__isNatIList(z) -{ 0 }-> 1 + z :|: z >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(a__U71(a__isNatKind(z0954)), z1) :|: z1 >= 0, z = 1 + (1 + z0954) + z1, z0954 >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(a__U61(a__isNatIListKind(z0953)), z1) :|: z1 >= 0, z = 1 + (1 + z0953) + z1, z0953 >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(2, z - 1) :|: z - 1 >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIListKind(z) -{ 0 }-> a__U51(1 + z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIListKind(z) -{ 0 }-> 2 :|: z = 1 a__isNatIListKind(z) -{ 0 }-> 2 :|: z = 3 a__isNatIListKind(z) -{ 0 }-> 0 :|: z >= 0 a__isNatIListKind(z) -{ 0 }-> 1 + z :|: z >= 0 a__isNatKind(z) -{ 0 }-> a__U71(a__U71(a__isNatKind(z - 2))) :|: z - 2 >= 0 a__isNatKind(z) -{ 0 }-> a__U71(a__U61(a__isNatIListKind(z - 2))) :|: z - 2 >= 0 a__isNatKind(z) -{ 0 }-> a__U61(a__U51(a__isNatKind(z0955), z1551)) :|: z1551 >= 0, z = 1 + (1 + z0955 + z1551), z0955 >= 0 a__isNatKind(z) -{ 0 }-> 2 :|: z = 0 a__isNatKind(z) -{ 0 }-> 2 :|: z = 1 + 1, 2 = 2 a__isNatKind(z) -{ 0 }-> 2 :|: z = 1 + 3, 2 = 2 a__isNatKind(z) -{ 0 }-> 2 :|: z - 1 >= 0, 1 + (z - 1) = 2 a__isNatKind(z) -{ 0 }-> 2 :|: z = 1 + 0, 2 = 2 a__isNatKind(z) -{ 0 }-> 0 :|: z >= 0 a__isNatKind(z) -{ 0 }-> 0 :|: z = 1 + 1, v0 >= 0, 2 = v0 a__isNatKind(z) -{ 0 }-> 0 :|: z = 1 + 3, v0 >= 0, 2 = v0 a__isNatKind(z) -{ 0 }-> 0 :|: z - 1 >= 0, v0 >= 0, 1 + (z - 1) = v0 a__isNatKind(z) -{ 0 }-> 0 :|: z - 1 >= 0, v0 >= 0, 0 = v0 a__isNatKind(z) -{ 0 }-> 0 :|: z = 1 + 0, v0 >= 0, 2 = v0 a__isNatKind(z) -{ 0 }-> 1 + z :|: z >= 0 a__isNatKind(z) -{ 0 }-> 1 + z0 :|: z = 1 + 1, 2 = z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> 1 + z0 :|: z = 1 + 3, 2 = z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> 1 + z0 :|: z = 1 + 0, 2 = z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> 1 + z0' :|: z - 1 >= 0, 1 + (z - 1) = z0', z0' >= 0 a__isNatKind(z) -{ 0 }-> 1 + z0' :|: z - 1 >= 0, 0 = z0', z0' >= 0 a__isNatList(z) -{ 0 }-> a__U81(a__U71(a__isNatKind(z0959)), 1 + z0959, z1) :|: z1 >= 0, z0959 >= 0, z = 1 + (1 + z0959) + z1 a__isNatList(z) -{ 0 }-> a__U81(a__U61(a__isNatIListKind(z0958)), 1 + z0958, z1) :|: z1 >= 0, z = 1 + (1 + z0958) + z1, z0958 >= 0 a__isNatList(z) -{ 0 }-> a__U81(2, 0, z - 1) :|: z - 1 >= 0 a__isNatList(z) -{ 0 }-> a__U81(0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatList(z) -{ 0 }-> a__U81(1 + z0, z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatList(z) -{ 0 }-> 2 :|: z = 1 a__isNatList(z) -{ 0 }-> 0 :|: z >= 0 a__isNatList(z) -{ 0 }-> 1 + z :|: z >= 0 a__length(z) -{ 0 }-> a__U91(a__U81(a__isNatKind(z0960), z0960, z1552), 1 + z0960 + z1552, z0) :|: z = 1 + z0 + (1 + z0960 + z1552), z0960 >= 0, z0 >= 0, z1552 >= 0 a__length(z) -{ 0 }-> a__U91(2, 1, z - 2) :|: z - 2 >= 0 a__length(z) -{ 0 }-> a__U91(0, z1, z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__length(z) -{ 0 }-> a__U91(1 + z1, z1, z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__length(z) -{ 0 }-> 0 :|: z = 1 a__length(z) -{ 0 }-> 0 :|: z >= 0 a__length(z) -{ 0 }-> 1 + z :|: z >= 0 a__zeros -{ 0 }-> 3 :|: a__zeros -{ 0 }-> 0 :|: a__zeros -{ 0 }-> 1 + 0 + 3 :|: mark(z) -{ 0 }-> a__length(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__isNatList(z - 1) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__isNatKind(z - 1) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__isNatIListKind(z - 1) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__isNatIList(z - 1) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__isNat(z - 1) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__U94(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U93(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U92(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U91(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U86(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__U85(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U84(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U83(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U82(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U81(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U71(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__U61(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__U52(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__U51(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U46(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__U45(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U44(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U43(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U42(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U41(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U33(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__U32(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U31(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U23(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__U22(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U21(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U13(mark(z - 1)) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__U12(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U11(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 3 :|: z = 3 mark(z) -{ 0 }-> 2 :|: z = 2 mark(z) -{ 0 }-> 1 :|: z = 1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: z >= 0 mark(z) -{ 0 }-> 0 :|: z = 3 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 mark(z) -{ 0 }-> 1 + 0 + 3 :|: z = 3 ---------------------------------------- (61) 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__zeros -> null_a__zeros [0] a__U11(v0, v1) -> null_a__U11 [0] a__U12(v0, v1) -> null_a__U12 [0] a__U13(v0) -> null_a__U13 [0] a__U21(v0, v1) -> null_a__U21 [0] a__U22(v0, v1) -> null_a__U22 [0] a__U23(v0) -> null_a__U23 [0] a__U31(v0, v1) -> null_a__U31 [0] a__U32(v0, v1) -> null_a__U32 [0] a__U33(v0) -> null_a__U33 [0] a__U41(v0, v1, v2) -> null_a__U41 [0] a__U42(v0, v1, v2) -> null_a__U42 [0] a__U43(v0, v1, v2) -> null_a__U43 [0] a__U44(v0, v1, v2) -> null_a__U44 [0] a__U45(v0, v1) -> null_a__U45 [0] a__U46(v0) -> null_a__U46 [0] a__U51(v0, v1) -> null_a__U51 [0] a__U52(v0) -> null_a__U52 [0] a__U61(v0) -> null_a__U61 [0] a__U71(v0) -> null_a__U71 [0] a__U81(v0, v1, v2) -> null_a__U81 [0] a__U82(v0, v1, v2) -> null_a__U82 [0] a__U83(v0, v1, v2) -> null_a__U83 [0] a__U84(v0, v1, v2) -> null_a__U84 [0] a__U85(v0, v1) -> null_a__U85 [0] a__U86(v0) -> null_a__U86 [0] a__U91(v0, v1, v2) -> null_a__U91 [0] a__U92(v0, v1, v2) -> null_a__U92 [0] a__U93(v0, v1, v2) -> null_a__U93 [0] a__U94(v0, v1) -> null_a__U94 [0] a__isNat(v0) -> null_a__isNat [0] a__isNatIList(v0) -> null_a__isNatIList [0] a__isNatIListKind(v0) -> null_a__isNatIListKind [0] a__isNatKind(v0) -> null_a__isNatKind [0] a__isNatList(v0) -> null_a__isNatList [0] a__length(v0) -> null_a__length [0] mark(v0) -> null_mark [0] A__U11(v0, v1) -> null_A__U11 [0] A__U21(v0, v1) -> null_A__U21 [0] A__U41(v0, v1, v2) -> null_A__U41 [0] A__U42(v0, v1, v2) -> null_A__U42 [0] A__U43(v0, v1, v2) -> null_A__U43 [0] A__U44(v0, v1, v2) -> null_A__U44 [0] A__U81(v0, v1, v2) -> null_A__U81 [0] A__U82(v0, v1, v2) -> null_A__U82 [0] A__U83(v0, v1, v2) -> null_A__U83 [0] A__U84(v0, v1, v2) -> null_A__U84 [0] A__U91(v0, v1, v2) -> null_A__U91 [0] A__U92(v0, v1, v2) -> null_A__U92 [0] A__U93(v0, v1, v2) -> null_A__U93 [0] A__U94(v0, v1) -> null_A__U94 [0] A__ISNAT(v0) -> null_A__ISNAT [0] A__ISNATILISTKIND(v0) -> null_A__ISNATILISTKIND [0] A__ISNATLIST(v0) -> null_A__ISNATLIST [0] A__LENGTH(v0) -> null_A__LENGTH [0] MARK(v0) -> null_MARK [0] A__U12(v0, v1) -> null_A__U12 [0] A__U22(v0, v1) -> null_A__U22 [0] A__U32(v0, v1) -> null_A__U32 [0] A__U45(v0, v1) -> null_A__U45 [0] A__U51(v0, v1) -> null_A__U51 [0] A__U85(v0, v1) -> null_A__U85 [0] A__ISNATKIND(v0) -> null_A__ISNATKIND [0] A__U31(v0, v1) -> null_A__U31 [0] And the following fresh constants: null_a__zeros, null_a__U11, null_a__U12, null_a__U13, null_a__U21, null_a__U22, null_a__U23, null_a__U31, null_a__U32, null_a__U33, null_a__U41, null_a__U42, null_a__U43, null_a__U44, null_a__U45, null_a__U46, null_a__U51, null_a__U52, null_a__U61, null_a__U71, null_a__U81, null_a__U82, null_a__U83, null_a__U84, null_a__U85, null_a__U86, null_a__U91, null_a__U92, null_a__U93, null_a__U94, null_a__isNat, null_a__isNatIList, null_a__isNatIListKind, null_a__isNatKind, null_a__isNatList, null_a__length, null_mark, null_A__U11, null_A__U21, null_A__U41, null_A__U42, null_A__U43, null_A__U44, null_A__U81, null_A__U82, null_A__U83, null_A__U84, null_A__U91, null_A__U92, null_A__U93, null_A__U94, null_A__ISNAT, null_A__ISNATILISTKIND, null_A__ISNATLIST, null_A__LENGTH, null_MARK, null_A__U12, null_A__U22, null_A__U32, null_A__U45, null_A__U51, null_A__U85, null_A__ISNATKIND, null_A__U31 ---------------------------------------- (62) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) [1] A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) [1] A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) [1] A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) [1] A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) [1] A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) [1] A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) [1] A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) [1] A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) [1] A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) [1] A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) [1] A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) [1] A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) [1] A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) [1] MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) [1] MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) [1] MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) [1] MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) [1] MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) [1] MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) [1] MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) [1] MARK(isNat(z0)) -> c92(A__ISNAT(z0)) [1] MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) [1] MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) [1] MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) [1] MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) [1] MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) [1] MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) [1] MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) [1] MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) [1] MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) [1] MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) [1] MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) [1] MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) [1] MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) [1] MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) [1] MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) [1] MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) [1] MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) [1] MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) [1] MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) [1] MARK(cons(z0, z1)) -> c118(MARK(z0)) [1] MARK(s(z0)) -> c121(MARK(z0)) [1] A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) [1] A__U22(tt, z0) -> c10(A__ISNAT(z0)) [1] A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) [1] A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) [1] A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) [1] A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) [1] A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) [1] A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) [1] MARK(U13(z0)) -> c86(MARK(z0)) [1] MARK(U23(z0)) -> c91(MARK(z0)) [1] MARK(U33(z0)) -> c95(MARK(z0)) [1] MARK(U46(z0)) -> c101(MARK(z0)) [1] MARK(U52(z0)) -> c104(MARK(z0)) [1] MARK(U61(z0)) -> c105(MARK(z0)) [1] MARK(U71(z0)) -> c106(MARK(z0)) [1] MARK(U86(z0)) -> c112(MARK(z0)) [1] A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) [1] A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) [1] A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) [1] A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) [1] a__zeros -> cons(0, zeros) [0] a__zeros -> zeros [0] a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) [0] a__U11(z0, z1) -> U11(z0, z1) [0] a__U12(tt, z0) -> a__U13(a__isNatList(z0)) [0] a__U12(z0, z1) -> U12(z0, z1) [0] a__U13(tt) -> tt [0] a__U13(z0) -> U13(z0) [0] a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) [0] a__U21(z0, z1) -> U21(z0, z1) [0] a__U22(tt, z0) -> a__U23(a__isNat(z0)) [0] a__U22(z0, z1) -> U22(z0, z1) [0] a__U23(tt) -> tt [0] a__U23(z0) -> U23(z0) [0] a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) [0] a__U31(z0, z1) -> U31(z0, z1) [0] a__U32(tt, z0) -> a__U33(a__isNatList(z0)) [0] a__U32(z0, z1) -> U32(z0, z1) [0] a__U33(tt) -> tt [0] a__U33(z0) -> U33(z0) [0] a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) [0] a__U41(z0, z1, z2) -> U41(z0, z1, z2) [0] a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) [0] a__U42(z0, z1, z2) -> U42(z0, z1, z2) [0] a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) [0] a__U43(z0, z1, z2) -> U43(z0, z1, z2) [0] a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) [0] a__U44(z0, z1, z2) -> U44(z0, z1, z2) [0] a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) [0] a__U45(z0, z1) -> U45(z0, z1) [0] a__U46(tt) -> tt [0] a__U46(z0) -> U46(z0) [0] a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) [0] a__U51(z0, z1) -> U51(z0, z1) [0] a__U52(tt) -> tt [0] a__U52(z0) -> U52(z0) [0] a__U61(tt) -> tt [0] a__U61(z0) -> U61(z0) [0] a__U71(tt) -> tt [0] a__U71(z0) -> U71(z0) [0] a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) [0] a__U81(z0, z1, z2) -> U81(z0, z1, z2) [0] a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) [0] a__U82(z0, z1, z2) -> U82(z0, z1, z2) [0] a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) [0] a__U83(z0, z1, z2) -> U83(z0, z1, z2) [0] a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) [0] a__U84(z0, z1, z2) -> U84(z0, z1, z2) [0] a__U85(tt, z0) -> a__U86(a__isNatList(z0)) [0] a__U85(z0, z1) -> U85(z0, z1) [0] a__U86(tt) -> tt [0] a__U86(z0) -> U86(z0) [0] a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) [0] a__U91(z0, z1, z2) -> U91(z0, z1, z2) [0] a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) [0] a__U92(z0, z1, z2) -> U92(z0, z1, z2) [0] a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) [0] a__U93(z0, z1, z2) -> U93(z0, z1, z2) [0] a__U94(tt, z0) -> s(a__length(mark(z0))) [0] a__U94(z0, z1) -> U94(z0, z1) [0] a__isNat(0) -> tt [0] a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) [0] a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) [0] a__isNat(z0) -> isNat(z0) [0] a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) [0] a__isNatIList(zeros) -> tt [0] a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) [0] a__isNatIList(z0) -> isNatIList(z0) [0] a__isNatIListKind(nil) -> tt [0] a__isNatIListKind(zeros) -> tt [0] a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) [0] a__isNatIListKind(z0) -> isNatIListKind(z0) [0] a__isNatKind(0) -> tt [0] a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) [0] a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) [0] a__isNatKind(z0) -> isNatKind(z0) [0] a__isNatList(nil) -> tt [0] a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) [0] a__isNatList(z0) -> isNatList(z0) [0] a__length(nil) -> 0 [0] a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) [0] a__length(z0) -> length(z0) [0] mark(zeros) -> a__zeros [0] mark(U11(z0, z1)) -> a__U11(mark(z0), z1) [0] mark(U12(z0, z1)) -> a__U12(mark(z0), z1) [0] mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) [0] mark(U13(z0)) -> a__U13(mark(z0)) [0] mark(isNatList(z0)) -> a__isNatList(z0) [0] mark(U21(z0, z1)) -> a__U21(mark(z0), z1) [0] mark(U22(z0, z1)) -> a__U22(mark(z0), z1) [0] mark(isNatKind(z0)) -> a__isNatKind(z0) [0] mark(U23(z0)) -> a__U23(mark(z0)) [0] mark(isNat(z0)) -> a__isNat(z0) [0] mark(U31(z0, z1)) -> a__U31(mark(z0), z1) [0] mark(U32(z0, z1)) -> a__U32(mark(z0), z1) [0] mark(U33(z0)) -> a__U33(mark(z0)) [0] mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) [0] mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) [0] mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) [0] mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) [0] mark(U45(z0, z1)) -> a__U45(mark(z0), z1) [0] mark(U46(z0)) -> a__U46(mark(z0)) [0] mark(isNatIList(z0)) -> a__isNatIList(z0) [0] mark(U51(z0, z1)) -> a__U51(mark(z0), z1) [0] mark(U52(z0)) -> a__U52(mark(z0)) [0] mark(U61(z0)) -> a__U61(mark(z0)) [0] mark(U71(z0)) -> a__U71(mark(z0)) [0] mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) [0] mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) [0] mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) [0] mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) [0] mark(U85(z0, z1)) -> a__U85(mark(z0), z1) [0] mark(U86(z0)) -> a__U86(mark(z0)) [0] mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) [0] mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) [0] mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) [0] mark(U94(z0, z1)) -> a__U94(mark(z0), z1) [0] mark(length(z0)) -> a__length(mark(z0)) [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(0) -> 0 [0] mark(tt) -> tt [0] mark(s(z0)) -> s(mark(z0)) [0] mark(nil) -> nil [0] a__zeros -> null_a__zeros [0] a__U11(v0, v1) -> null_a__U11 [0] a__U12(v0, v1) -> null_a__U12 [0] a__U13(v0) -> null_a__U13 [0] a__U21(v0, v1) -> null_a__U21 [0] a__U22(v0, v1) -> null_a__U22 [0] a__U23(v0) -> null_a__U23 [0] a__U31(v0, v1) -> null_a__U31 [0] a__U32(v0, v1) -> null_a__U32 [0] a__U33(v0) -> null_a__U33 [0] a__U41(v0, v1, v2) -> null_a__U41 [0] a__U42(v0, v1, v2) -> null_a__U42 [0] a__U43(v0, v1, v2) -> null_a__U43 [0] a__U44(v0, v1, v2) -> null_a__U44 [0] a__U45(v0, v1) -> null_a__U45 [0] a__U46(v0) -> null_a__U46 [0] a__U51(v0, v1) -> null_a__U51 [0] a__U52(v0) -> null_a__U52 [0] a__U61(v0) -> null_a__U61 [0] a__U71(v0) -> null_a__U71 [0] a__U81(v0, v1, v2) -> null_a__U81 [0] a__U82(v0, v1, v2) -> null_a__U82 [0] a__U83(v0, v1, v2) -> null_a__U83 [0] a__U84(v0, v1, v2) -> null_a__U84 [0] a__U85(v0, v1) -> null_a__U85 [0] a__U86(v0) -> null_a__U86 [0] a__U91(v0, v1, v2) -> null_a__U91 [0] a__U92(v0, v1, v2) -> null_a__U92 [0] a__U93(v0, v1, v2) -> null_a__U93 [0] a__U94(v0, v1) -> null_a__U94 [0] a__isNat(v0) -> null_a__isNat [0] a__isNatIList(v0) -> null_a__isNatIList [0] a__isNatIListKind(v0) -> null_a__isNatIListKind [0] a__isNatKind(v0) -> null_a__isNatKind [0] a__isNatList(v0) -> null_a__isNatList [0] a__length(v0) -> null_a__length [0] mark(v0) -> null_mark [0] A__U11(v0, v1) -> null_A__U11 [0] A__U21(v0, v1) -> null_A__U21 [0] A__U41(v0, v1, v2) -> null_A__U41 [0] A__U42(v0, v1, v2) -> null_A__U42 [0] A__U43(v0, v1, v2) -> null_A__U43 [0] A__U44(v0, v1, v2) -> null_A__U44 [0] A__U81(v0, v1, v2) -> null_A__U81 [0] A__U82(v0, v1, v2) -> null_A__U82 [0] A__U83(v0, v1, v2) -> null_A__U83 [0] A__U84(v0, v1, v2) -> null_A__U84 [0] A__U91(v0, v1, v2) -> null_A__U91 [0] A__U92(v0, v1, v2) -> null_A__U92 [0] A__U93(v0, v1, v2) -> null_A__U93 [0] A__U94(v0, v1) -> null_A__U94 [0] A__ISNAT(v0) -> null_A__ISNAT [0] A__ISNATILISTKIND(v0) -> null_A__ISNATILISTKIND [0] A__ISNATLIST(v0) -> null_A__ISNATLIST [0] A__LENGTH(v0) -> null_A__LENGTH [0] MARK(v0) -> null_MARK [0] A__U12(v0, v1) -> null_A__U12 [0] A__U22(v0, v1) -> null_A__U22 [0] A__U32(v0, v1) -> null_A__U32 [0] A__U45(v0, v1) -> null_A__U45 [0] A__U51(v0, v1) -> null_A__U51 [0] A__U85(v0, v1) -> null_A__U85 [0] A__ISNATKIND(v0) -> null_A__ISNATKIND [0] A__U31(v0, v1) -> null_A__U31 [0] The TRS has the following type information: A__U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c2:null_A__U11 tt :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c2 :: c4:null_A__U12 -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c2:null_A__U11 A__U12 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c4:null_A__U12 a__isNatIListKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark A__ISNATILISTKIND :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 A__U21 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c8:null_A__U21 c8 :: c10:null_A__U22 -> c73:c74:null_A__ISNATKIND -> c8:null_A__U21 A__U22 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c73:c74:null_A__ISNATKIND A__U41 :: 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c20:null_A__U41 c20 :: c22:null_A__U42 -> c73:c74:null_A__ISNATKIND -> c20:null_A__U41 A__U42 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c22:null_A__U42 c22 :: c24:null_A__U43 -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c22:null_A__U42 A__U43 :: 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c40:null_A__U81 c40 :: c42:null_A__U82 -> c73:c74:null_A__ISNATKIND -> c40:null_A__U81 A__U82 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c44:null_A__U83 c44 :: c46:null_A__U84 -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c44:null_A__U83 A__U84 :: 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tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c62 :: c8:null_A__U21 -> c73:c74:null_A__ISNATKIND -> c61:c62:null_A__ISNAT A__ISNATILIST :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 cons :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c66 :: c20:null_A__U41 -> c73:c74:null_A__ISNATKIND -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 c70 :: c32:null_A__U51 -> c73:c74:null_A__ISNATKIND -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 A__U51 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c32:null_A__U51 A__ISNATLIST :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c77:null_A__ISNATLIST c77 :: c40:null_A__U81 -> c73:c74:null_A__ISNATKIND -> c77:null_A__ISNATLIST c80 :: c52:null_A__U91 -> c77:null_A__ISNATLIST -> c80:null_A__LENGTH a__isNatList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c83 :: c2:null_A__U11 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U12 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c84 :: c4:null_A__U12 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK isNatIListKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c85 :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK isNatList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c87 :: c77:null_A__ISNATLIST -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U21 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c88 :: c8:null_A__U21 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U22 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c89 :: c10:null_A__U22 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK isNatKind :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c90 :: c73:c74:null_A__ISNATKIND -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK isNat :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c92 :: c61:c62:null_A__ISNAT -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U31 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c93 :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK A__U31 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 U32 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c94 :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK A__U32 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 U41 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c96 :: c20:null_A__U41 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U42 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c97 :: c22:null_A__U42 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U43 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c98 :: c24:null_A__U43 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U44 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c99 :: c26:null_A__U44 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U45 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c100 :: c28:null_A__U45 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK isNatIList :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c102 :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U51 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c103 :: c32:null_A__U51 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U81 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c107 :: c40:null_A__U81 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U82 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c108 :: c42:null_A__U82 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U83 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c109 :: c44:null_A__U83 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U84 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c110 :: c46:null_A__U84 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U85 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c111 :: c48:null_A__U85 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U91 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c113 :: c52:null_A__U91 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U92 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c114 :: c54:null_A__U92 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U93 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c115 :: c56:null_A__U93 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U94 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c116 :: c58:null_A__U94 -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK c117 :: c80:null_A__LENGTH -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK c118 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK c121 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK c4 :: c77:null_A__ISNATLIST -> c4:null_A__U12 c10 :: c61:c62:null_A__ISNAT -> c10:null_A__U22 c16 :: c77:null_A__ISNATLIST -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 c28 :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c28:null_A__U45 c32 :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c32:null_A__U51 c48 :: c77:null_A__ISNATLIST -> c48:null_A__U85 c73 :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c73:c74:null_A__ISNATKIND c74 :: c73:c74:null_A__ISNATKIND -> c73:c74:null_A__ISNATKIND U13 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c86 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U23 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c91 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U33 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c95 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U46 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c101 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U52 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c104 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U61 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c105 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U71 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c106 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK U86 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark c112 :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK -> c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK c :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 -> c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 a__zeros :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark 0 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark zeros :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark a__U11 :: tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark -> tt:length:s:cons:U11:U12:isNatIListKind:isNatList:U21:U22:isNatKind:isNat:U31:U32:U41:U42:U43:U44:U45:isNatIList:U51:U81:U82:U83:U84:U85:U91:U92:U93:U94:U13:U23:U33:U46:U52:U61:U71:U86:0:zeros:nil:null_a__zeros:null_a__U11:null_a__U12:null_a__U13:null_a__U21:null_a__U22:null_a__U23:null_a__U31:null_a__U32:null_a__U33:null_a__U41:null_a__U42:null_a__U43:null_a__U44:null_a__U45:null_a__U46:null_a__U51:null_a__U52:null_a__U61:null_a__U71:null_a__U81:null_a__U82:null_a__U83:null_a__U84:null_a__U85:null_a__U86:null_a__U91:null_a__U92:null_a__U93:null_a__U94:null_a__isNat:null_a__isNatIList:null_a__isNatIListKind:null_a__isNatKind:null_a__isNatList:null_a__length:null_mark a__U12 :: 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c52:null_A__U91 null_A__U92 :: c54:null_A__U92 null_A__U93 :: c56:null_A__U93 null_A__U94 :: c58:null_A__U94 null_A__ISNAT :: c61:c62:null_A__ISNAT null_A__ISNATILISTKIND :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 null_A__ISNATLIST :: c77:null_A__ISNATLIST null_A__LENGTH :: c80:null_A__LENGTH null_MARK :: c83:c84:c85:c87:c88:c89:c90:c92:c93:c94:c96:c97:c98:c99:c100:c102:c103:c107:c108:c109:c110:c111:c113:c114:c115:c116:c117:c118:c121:c86:c91:c95:c101:c104:c105:c106:c112:null_MARK null_A__U12 :: c4:null_A__U12 null_A__U22 :: c10:null_A__U22 null_A__U32 :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 null_A__U45 :: c28:null_A__U45 null_A__U51 :: c32:null_A__U51 null_A__U85 :: c48:null_A__U85 null_A__ISNATKIND :: c73:c74:null_A__ISNATKIND null_A__U31 :: c66:c70:c16:c:null_A__ISNATILISTKIND:null_A__U32:null_A__U31 Rewrite Strategy: INNERMOST ---------------------------------------- (63) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: tt => 2 0 => 0 zeros => 3 nil => 1 null_a__zeros => 0 null_a__U11 => 0 null_a__U12 => 0 null_a__U13 => 0 null_a__U21 => 0 null_a__U22 => 0 null_a__U23 => 0 null_a__U31 => 0 null_a__U32 => 0 null_a__U33 => 0 null_a__U41 => 0 null_a__U42 => 0 null_a__U43 => 0 null_a__U44 => 0 null_a__U45 => 0 null_a__U46 => 0 null_a__U51 => 0 null_a__U52 => 0 null_a__U61 => 0 null_a__U71 => 0 null_a__U81 => 0 null_a__U82 => 0 null_a__U83 => 0 null_a__U84 => 0 null_a__U85 => 0 null_a__U86 => 0 null_a__U91 => 0 null_a__U92 => 0 null_a__U93 => 0 null_a__U94 => 0 null_a__isNat => 0 null_a__isNatIList => 0 null_a__isNatIListKind => 0 null_a__isNatKind => 0 null_a__isNatList => 0 null_a__length => 0 null_mark => 0 null_A__U11 => 0 null_A__U21 => 0 null_A__U41 => 0 null_A__U42 => 0 null_A__U43 => 0 null_A__U44 => 0 null_A__U81 => 0 null_A__U82 => 0 null_A__U83 => 0 null_A__U84 => 0 null_A__U91 => 0 null_A__U92 => 0 null_A__U93 => 0 null_A__U94 => 0 null_A__ISNAT => 0 null_A__ISNATILISTKIND => 0 null_A__ISNATLIST => 0 null_A__LENGTH => 0 null_MARK => 0 null_A__U12 => 0 null_A__U22 => 0 null_A__U32 => 0 null_A__U45 => 0 null_A__U51 => 0 null_A__U85 => 0 null_A__ISNATKIND => 0 null_A__U31 => 0 ---------------------------------------- (64) Obligation: Complexity RNTS consisting of the following rules: A__ISNAT(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 A__ISNAT(z) -{ 1 }-> 1 + A__U21(a__isNatKind(z0), z0) + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNAT(z) -{ 1 }-> 1 + A__U11(a__isNatIListKind(z0), z0) + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U31(a__isNatIListKind(z0), z0) :|: z = z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = z0, z0 >= 0 A__ISNATILIST(z) -{ 1 }-> 1 + A__U41(a__isNatKind(z0), z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATILISTKIND(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 A__ISNATILISTKIND(z) -{ 1 }-> 1 + A__U51(a__isNatKind(z0), z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__ISNATKIND(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 A__ISNATKIND(z) -{ 1 }-> 1 + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNATKIND(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 A__ISNATLIST(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 A__ISNATLIST(z) -{ 1 }-> 1 + A__U81(a__isNatKind(z0), z0, z1) + A__ISNATKIND(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__LENGTH(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 A__LENGTH(z) -{ 1 }-> 1 + A__U91(a__isNatList(z1), z1, z0) + A__ISNATLIST(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 A__U11(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__U11(z, z') -{ 1 }-> 1 + A__U12(a__isNatIListKind(z0), z0) + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U12(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__U12(z, z') -{ 1 }-> 1 + A__ISNATLIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U21(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__U21(z, z') -{ 1 }-> 1 + A__U22(a__isNatKind(z0), z0) + A__ISNATKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U22(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__U22(z, z') -{ 1 }-> 1 + A__ISNAT(z0) :|: z = 2, z0 >= 0, z' = z0 A__U31(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__U31(z, z') -{ 1 }-> 1 + A__U32(a__isNatIListKind(z0), z0) :|: z = 2, z0 >= 0, z' = z0 A__U31(z, z') -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U32(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__U32(z, z') -{ 1 }-> 1 + A__ISNATLIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U41(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U41(z, z', z'') -{ 1 }-> 1 + A__U42(a__isNatKind(z0), z0, z1) + A__ISNATKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U42(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U42(z, z', z'') -{ 1 }-> 1 + A__U43(a__isNatIListKind(z1), z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U43(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U43(z, z', z'') -{ 1 }-> 1 + A__U44(a__isNatIListKind(z1), z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U44(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U44(z, z', z'') -{ 1 }-> 1 + A__U45(a__isNat(z0), z1) + A__ISNAT(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U45(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__U45(z, z') -{ 1 }-> 1 + A__ISNATILIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U51(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__U51(z, z') -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 2, z0 >= 0, z' = z0 A__U81(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U81(z, z', z'') -{ 1 }-> 1 + A__U82(a__isNatKind(z0), z0, z1) + A__ISNATKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U82(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U82(z, z', z'') -{ 1 }-> 1 + A__U83(a__isNatIListKind(z1), z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U83(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U83(z, z', z'') -{ 1 }-> 1 + A__U84(a__isNatIListKind(z1), z0, z1) + A__ISNATILISTKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U84(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U84(z, z', z'') -{ 1 }-> 1 + A__U85(a__isNat(z0), z1) + A__ISNAT(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U85(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__U85(z, z') -{ 1 }-> 1 + A__ISNATLIST(z0) :|: z = 2, z0 >= 0, z' = z0 A__U91(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U91(z, z', z'') -{ 1 }-> 1 + A__U92(a__isNatIListKind(z0), z0, z1) + A__ISNATILISTKIND(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U92(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U92(z, z', z'') -{ 1 }-> 1 + A__U93(a__isNat(z1), z0, z1) + A__ISNAT(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U93(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 A__U93(z, z', z'') -{ 1 }-> 1 + A__U94(a__isNatKind(z1), z0) + A__ISNATKIND(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 A__U94(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__U94(z, z') -{ 1 }-> 1 + A__LENGTH(mark(z0)) + MARK(z0) :|: z = 2, z0 >= 0, z' = z0 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__ISNATLIST(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATKIND(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATILISTKIND(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNATILIST(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__ISNAT(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__U94(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U93(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U92(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U91(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U85(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U84(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U83(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U82(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U81(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U51(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U45(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U44(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U43(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U42(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U41(mark(z0), z1, z2) + MARK(z0) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + A__U32(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U31(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U22(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U21(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U12(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__U11(mark(z0), z1) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__LENGTH(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0 a__U11(z, z') -{ 0 }-> a__U12(a__isNatIListKind(z0), z0) :|: z = 2, z0 >= 0, z' = z0 a__U11(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U11(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U12(z, z') -{ 0 }-> a__U13(a__isNatList(z0)) :|: z = 2, z0 >= 0, z' = z0 a__U12(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U12(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U13(z) -{ 0 }-> 2 :|: z = 2 a__U13(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U13(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U21(z, z') -{ 0 }-> a__U22(a__isNatKind(z0), z0) :|: z = 2, z0 >= 0, z' = z0 a__U21(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U21(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U22(z, z') -{ 0 }-> a__U23(a__isNat(z0)) :|: z = 2, z0 >= 0, z' = z0 a__U22(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U22(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U23(z) -{ 0 }-> 2 :|: z = 2 a__U23(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U23(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U31(z, z') -{ 0 }-> a__U32(a__isNatIListKind(z0), z0) :|: z = 2, z0 >= 0, z' = z0 a__U31(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U31(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U32(z, z') -{ 0 }-> a__U33(a__isNatList(z0)) :|: z = 2, z0 >= 0, z' = z0 a__U32(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U32(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U33(z) -{ 0 }-> 2 :|: z = 2 a__U33(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U33(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U41(z, z', z'') -{ 0 }-> a__U42(a__isNatKind(z0), z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U41(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U41(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U42(z, z', z'') -{ 0 }-> a__U43(a__isNatIListKind(z1), z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U42(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U42(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U43(z, z', z'') -{ 0 }-> a__U44(a__isNatIListKind(z1), z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U43(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U43(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U44(z, z', z'') -{ 0 }-> a__U45(a__isNat(z0), z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U44(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U44(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U45(z, z') -{ 0 }-> a__U46(a__isNatIList(z0)) :|: z = 2, z0 >= 0, z' = z0 a__U45(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U45(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U46(z) -{ 0 }-> 2 :|: z = 2 a__U46(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U46(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U51(z, z') -{ 0 }-> a__U52(a__isNatIListKind(z0)) :|: z = 2, z0 >= 0, z' = z0 a__U51(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U51(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U52(z) -{ 0 }-> 2 :|: z = 2 a__U52(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U52(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U61(z) -{ 0 }-> 2 :|: z = 2 a__U61(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U61(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U71(z) -{ 0 }-> 2 :|: z = 2 a__U71(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U71(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U81(z, z', z'') -{ 0 }-> a__U82(a__isNatKind(z0), z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U81(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U81(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U82(z, z', z'') -{ 0 }-> a__U83(a__isNatIListKind(z1), z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U82(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U82(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U83(z, z', z'') -{ 0 }-> a__U84(a__isNatIListKind(z1), z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U83(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U83(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U84(z, z', z'') -{ 0 }-> a__U85(a__isNat(z0), z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U84(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U84(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U85(z, z') -{ 0 }-> a__U86(a__isNatList(z0)) :|: z = 2, z0 >= 0, z' = z0 a__U85(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U85(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__U86(z) -{ 0 }-> 2 :|: z = 2 a__U86(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__U86(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__U91(z, z', z'') -{ 0 }-> a__U92(a__isNatIListKind(z0), z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U91(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U91(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U92(z, z', z'') -{ 0 }-> a__U93(a__isNat(z1), z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U92(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U92(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U93(z, z', z'') -{ 0 }-> a__U94(a__isNatKind(z1), z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 a__U93(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 a__U93(z, z', z'') -{ 0 }-> 1 + z0 + z1 + z2 :|: z'' = z2, z = z0, z1 >= 0, z' = z1, z0 >= 0, z2 >= 0 a__U94(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__U94(z, z') -{ 0 }-> 1 + a__length(mark(z0)) :|: z = 2, z0 >= 0, z' = z0 a__U94(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__isNat(z) -{ 0 }-> a__U21(a__isNatKind(z0), z0) :|: z = 1 + z0, z0 >= 0 a__isNat(z) -{ 0 }-> a__U11(a__isNatIListKind(z0), z0) :|: z = 1 + z0, z0 >= 0 a__isNat(z) -{ 0 }-> 2 :|: z = 0 a__isNat(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNat(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatIList(z) -{ 0 }-> a__U41(a__isNatKind(z0), z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIList(z) -{ 0 }-> a__U31(a__isNatIListKind(z0), z0) :|: z = z0, z0 >= 0 a__isNatIList(z) -{ 0 }-> 2 :|: z = 3 a__isNatIList(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatIList(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatIListKind(z) -{ 0 }-> a__U51(a__isNatKind(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatIListKind(z) -{ 0 }-> 2 :|: z = 1 a__isNatIListKind(z) -{ 0 }-> 2 :|: z = 3 a__isNatIListKind(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatIListKind(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> a__U71(a__isNatKind(z0)) :|: z = 1 + z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> a__U61(a__isNatIListKind(z0)) :|: z = 1 + z0, z0 >= 0 a__isNatKind(z) -{ 0 }-> 2 :|: z = 0 a__isNatKind(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatKind(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__isNatList(z) -{ 0 }-> a__U81(a__isNatKind(z0), z0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__isNatList(z) -{ 0 }-> 2 :|: z = 1 a__isNatList(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__isNatList(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__length(z) -{ 0 }-> a__U91(a__isNatList(z1), z1, z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__length(z) -{ 0 }-> 0 :|: z = 1 a__length(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__length(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__zeros -{ 0 }-> 3 :|: a__zeros -{ 0 }-> 0 :|: a__zeros -{ 0 }-> 1 + 0 + 3 :|: mark(z) -{ 0 }-> a__zeros :|: z = 3 mark(z) -{ 0 }-> a__length(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatList(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatKind(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatIListKind(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNatIList(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__isNat(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U94(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U93(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U92(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U91(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U86(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U85(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U84(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U83(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U82(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U81(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U71(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U61(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U52(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U51(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U46(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U45(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U44(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U43(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U42(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U41(mark(z0), z1, z2) :|: z1 >= 0, z = 1 + z0 + z1 + z2, z0 >= 0, z2 >= 0 mark(z) -{ 0 }-> a__U33(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U32(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U31(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U23(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U22(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U21(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U13(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__U12(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__U11(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 2 :|: z = 2 mark(z) -{ 0 }-> 1 :|: z = 1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + mark(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (65) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U11(tt, z0) -> c2(A__U12(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) by A__U11(tt, nil) -> c2(A__U12(tt, nil), A__ISNATILISTKIND(nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros), A__ISNATILISTKIND(zeros)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, z0) -> c2(A__U12(isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, nil) -> c2(A__U12(tt, nil), A__ISNATILISTKIND(nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros), A__ISNATILISTKIND(zeros)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, z0) -> c2(A__U12(isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) S tuples: A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, nil) -> c2(A__U12(tt, nil), A__ISNATILISTKIND(nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros), A__ISNATILISTKIND(zeros)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, z0) -> c2(A__U12(isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2 Compound Symbols: c8_2, c20_2, c22_2, c24_2, c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2 ---------------------------------------- (67) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) S tuples: A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2 Compound Symbols: c8_2, c20_2, c22_2, c24_2, c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1 ---------------------------------------- (69) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U21(tt, z0) -> c8(A__U22(a__isNatKind(z0), z0), A__ISNATKIND(z0)) by A__U21(tt, 0) -> c8(A__U22(tt, 0), A__ISNATKIND(0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, z0) -> c8(A__U22(isNatKind(z0), z0), A__ISNATKIND(z0)) ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, 0) -> c8(A__U22(tt, 0), A__ISNATKIND(0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, z0) -> c8(A__U22(isNatKind(z0), z0), A__ISNATKIND(z0)) S tuples: A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, 0) -> c8(A__U22(tt, 0), A__ISNATKIND(0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, z0) -> c8(A__U22(isNatKind(z0), z0), A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2 Compound Symbols: c20_2, c22_2, c24_2, c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2 ---------------------------------------- (71) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) S tuples: A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2 Compound Symbols: c20_2, c22_2, c24_2, c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1 ---------------------------------------- (73) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U41(tt, z0, z1) -> c20(A__U42(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) by A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1), A__ISNATKIND(0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, z0, x1) -> c20(A__U42(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1), A__ISNATKIND(0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, z0, x1) -> c20(A__U42(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) S tuples: A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1), A__ISNATKIND(0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, z0, x1) -> c20(A__U42(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3 Compound Symbols: c22_2, c24_2, c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2 ---------------------------------------- (75) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) S tuples: A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3 Compound Symbols: c22_2, c24_2, c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1 ---------------------------------------- (77) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U42(tt, z0, z1) -> c22(A__U43(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) by A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, z0) -> c22(A__U43(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, z0) -> c22(A__U43(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) S tuples: A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, z0) -> c22(A__U43(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3 Compound Symbols: c24_2, c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2 ---------------------------------------- (79) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) S tuples: A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3 Compound Symbols: c24_2, c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1 ---------------------------------------- (81) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U43(tt, z0, z1) -> c24(A__U44(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) by A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, z0) -> c24(A__U44(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, z0) -> c24(A__U44(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) S tuples: A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, z0) -> c24(A__U44(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3 Compound Symbols: c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2 ---------------------------------------- (83) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (84) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) S tuples: A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3 Compound Symbols: c26_2, c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1 ---------------------------------------- (85) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U44(tt, z0, z1) -> c26(A__U45(a__isNat(z0), z1), A__ISNAT(z0)) by A__U44(tt, 0, x1) -> c26(A__U45(tt, x1), A__ISNAT(0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, z0, x1) -> c26(A__U45(isNat(z0), x1), A__ISNAT(z0)) ---------------------------------------- (86) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1), A__ISNAT(0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, z0, x1) -> c26(A__U45(isNat(z0), x1), A__ISNAT(z0)) S tuples: A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1), A__ISNAT(0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, z0, x1) -> c26(A__U45(isNat(z0), x1), A__ISNAT(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3 Compound Symbols: c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2 ---------------------------------------- (87) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) S tuples: A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3 Compound Symbols: c40_2, c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1 ---------------------------------------- (89) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U81(tt, z0, z1) -> c40(A__U82(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) by A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1), A__ISNATKIND(0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, z0, x1) -> c40(A__U82(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1), A__ISNATKIND(0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, z0, x1) -> c40(A__U82(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) S tuples: A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1), A__ISNATKIND(0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, z0, x1) -> c40(A__U82(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3 Compound Symbols: c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2 ---------------------------------------- (91) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (92) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) S tuples: A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3 Compound Symbols: c42_2, c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1 ---------------------------------------- (93) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U82(tt, z0, z1) -> c42(A__U83(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) by A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, z0) -> c42(A__U83(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, z0) -> c42(A__U83(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) S tuples: A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, z0) -> c42(A__U83(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3 Compound Symbols: c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2 ---------------------------------------- (95) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) S tuples: A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3 Compound Symbols: c44_2, c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1 ---------------------------------------- (97) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U83(tt, z0, z1) -> c44(A__U84(a__isNatIListKind(z1), z0, z1), A__ISNATILISTKIND(z1)) by A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, z0) -> c44(A__U84(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) ---------------------------------------- (98) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, z0) -> c44(A__U84(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) S tuples: A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil), A__ISNATILISTKIND(nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros), A__ISNATILISTKIND(zeros)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, z0) -> c44(A__U84(isNatIListKind(z0), x0, z0), A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3 Compound Symbols: c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2 ---------------------------------------- (99) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (100) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) S tuples: A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3 Compound Symbols: c46_2, c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1 ---------------------------------------- (101) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U84(tt, z0, z1) -> c46(A__U85(a__isNat(z0), z1), A__ISNAT(z0)) by A__U84(tt, 0, x1) -> c46(A__U85(tt, x1), A__ISNAT(0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, z0, x1) -> c46(A__U85(isNat(z0), x1), A__ISNAT(z0)) ---------------------------------------- (102) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1), A__ISNAT(0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, z0, x1) -> c46(A__U85(isNat(z0), x1), A__ISNAT(z0)) S tuples: A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1), A__ISNAT(0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, z0, x1) -> c46(A__U85(isNat(z0), x1), A__ISNAT(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3 Compound Symbols: c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2 ---------------------------------------- (103) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (104) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) S tuples: A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3 Compound Symbols: c52_2, c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1 ---------------------------------------- (105) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U91(tt, z0, z1) -> c52(A__U92(a__isNatIListKind(z0), z0, z1), A__ISNATILISTKIND(z0)) by A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1), A__ISNATILISTKIND(nil)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1), A__ISNATILISTKIND(zeros)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, z0, x1) -> c52(A__U92(isNatIListKind(z0), z0, x1), A__ISNATILISTKIND(z0)) ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1), A__ISNATILISTKIND(nil)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1), A__ISNATILISTKIND(zeros)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, z0, x1) -> c52(A__U92(isNatIListKind(z0), z0, x1), A__ISNATILISTKIND(z0)) S tuples: A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1), A__ISNATILISTKIND(nil)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1), A__ISNATILISTKIND(zeros)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, z0, x1) -> c52(A__U92(isNatIListKind(z0), z0, x1), A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3 Compound Symbols: c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2 ---------------------------------------- (107) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (108) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) S tuples: A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3 Compound Symbols: c54_2, c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1 ---------------------------------------- (109) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U92(tt, z0, z1) -> c54(A__U93(a__isNat(z1), z0, z1), A__ISNAT(z1)) by A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0), A__ISNAT(0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, z0) -> c54(A__U93(isNat(z0), x0, z0), A__ISNAT(z0)) ---------------------------------------- (110) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0), A__ISNAT(0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, z0) -> c54(A__U93(isNat(z0), x0, z0), A__ISNAT(z0)) S tuples: A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0), A__ISNAT(0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, z0) -> c54(A__U93(isNat(z0), x0, z0), A__ISNAT(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3 Compound Symbols: c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2 ---------------------------------------- (111) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (112) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) S tuples: A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3 Compound Symbols: c56_2, c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1 ---------------------------------------- (113) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U93(tt, z0, z1) -> c56(A__U94(a__isNatKind(z1), z0), A__ISNATKIND(z1)) by A__U93(tt, x0, 0) -> c56(A__U94(tt, x0), A__ISNATKIND(0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, z0) -> c56(A__U94(isNatKind(z0), x0), A__ISNATKIND(z0)) ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0), A__ISNATKIND(0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, z0) -> c56(A__U94(isNatKind(z0), x0), A__ISNATKIND(z0)) S tuples: A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0), A__ISNATKIND(0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, z0) -> c56(A__U94(isNatKind(z0), x0), A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3 Compound Symbols: c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2 ---------------------------------------- (115) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (116) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) S tuples: A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__U94_2, A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3 Compound Symbols: c58_2, c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1 ---------------------------------------- (117) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U94(tt, z0) -> c58(A__LENGTH(mark(z0)), MARK(z0)) by A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros), MARK(zeros)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, 0) -> c58(A__LENGTH(0), MARK(0)) A__U94(tt, tt) -> c58(A__LENGTH(tt), MARK(tt)) A__U94(tt, s(z0)) -> c58(A__LENGTH(s(mark(z0))), MARK(s(z0))) A__U94(tt, nil) -> c58(A__LENGTH(nil), MARK(nil)) ---------------------------------------- (118) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros), MARK(zeros)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, 0) -> c58(A__LENGTH(0), MARK(0)) A__U94(tt, tt) -> c58(A__LENGTH(tt), MARK(tt)) A__U94(tt, s(z0)) -> c58(A__LENGTH(s(mark(z0))), MARK(s(z0))) A__U94(tt, nil) -> c58(A__LENGTH(nil), MARK(nil)) S tuples: A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros), MARK(zeros)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, 0) -> c58(A__LENGTH(0), MARK(0)) A__U94(tt, tt) -> c58(A__LENGTH(tt), MARK(tt)) A__U94(tt, s(z0)) -> c58(A__LENGTH(s(mark(z0))), MARK(s(z0))) A__U94(tt, nil) -> c58(A__LENGTH(nil), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2 Compound Symbols: c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2 ---------------------------------------- (119) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__U94(tt, nil) -> c58(A__LENGTH(nil), MARK(nil)) A__U94(tt, tt) -> c58(A__LENGTH(tt), MARK(tt)) A__U94(tt, 0) -> c58(A__LENGTH(0), MARK(0)) ---------------------------------------- (120) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros), MARK(zeros)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, s(z0)) -> c58(A__LENGTH(s(mark(z0))), MARK(s(z0))) S tuples: A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros), MARK(zeros)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, s(z0)) -> c58(A__LENGTH(s(mark(z0))), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2 Compound Symbols: c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2 ---------------------------------------- (121) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) S tuples: A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2 Compound Symbols: c61_2, c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1 ---------------------------------------- (123) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ISNAT(length(z0)) -> c61(A__U11(a__isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) by A__ISNAT(length(nil)) -> c61(A__U11(tt, nil), A__ISNATILISTKIND(nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros), A__ISNATILISTKIND(zeros)) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(z0)) -> c61(A__U11(isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil), A__ISNATILISTKIND(nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros), A__ISNATILISTKIND(zeros)) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(z0)) -> c61(A__U11(isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) S tuples: A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil), A__ISNATILISTKIND(nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros), A__ISNATILISTKIND(zeros)) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(z0)) -> c61(A__U11(isNatIListKind(z0), z0), A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2 Compound Symbols: c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2 ---------------------------------------- (125) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) S tuples: A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNAT_1, A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2 Compound Symbols: c62_2, c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1 ---------------------------------------- (127) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ISNAT(s(z0)) -> c62(A__U21(a__isNatKind(z0), z0), A__ISNATKIND(z0)) by A__ISNAT(s(0)) -> c62(A__U21(tt, 0), A__ISNATKIND(0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(z0)) -> c62(A__U21(isNatKind(z0), z0), A__ISNATKIND(z0)) ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(0)) -> c62(A__U21(tt, 0), A__ISNATKIND(0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(z0)) -> c62(A__U21(isNatKind(z0), z0), A__ISNATKIND(z0)) S tuples: A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(0)) -> c62(A__U21(tt, 0), A__ISNATKIND(0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(z0)) -> c62(A__U21(isNatKind(z0), z0), A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1 Compound Symbols: c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2 ---------------------------------------- (129) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (130) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) S tuples: A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNATILIST_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1 Compound Symbols: c66_2, c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1 ---------------------------------------- (131) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ISNATILIST(cons(z0, z1)) -> c66(A__U41(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) by A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1), A__ISNATKIND(0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(z0, x1)) -> c66(A__U41(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) ---------------------------------------- (132) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1), A__ISNATKIND(0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(z0, x1)) -> c66(A__U41(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) S tuples: A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1), A__ISNATKIND(0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(z0, x1)) -> c66(A__U41(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1 Compound Symbols: c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2 ---------------------------------------- (133) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (134) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) S tuples: A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1 Compound Symbols: c70_2, c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1 ---------------------------------------- (135) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ISNATILISTKIND(cons(z0, z1)) -> c70(A__U51(a__isNatKind(z0), z1), A__ISNATKIND(z0)) by A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1), A__ISNATKIND(0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__U51(isNatKind(z0), x1), A__ISNATKIND(z0)) ---------------------------------------- (136) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1), A__ISNATKIND(0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__U51(isNatKind(z0), x1), A__ISNATKIND(z0)) S tuples: A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1), A__ISNATKIND(0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__U51(isNatKind(z0), x1), A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1 Compound Symbols: c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2 ---------------------------------------- (137) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (138) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) S tuples: A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__ISNATLIST_1, A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1 Compound Symbols: c77_2, c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1 ---------------------------------------- (139) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__ISNATLIST(cons(z0, z1)) -> c77(A__U81(a__isNatKind(z0), z0, z1), A__ISNATKIND(z0)) by A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1), A__ISNATKIND(0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(z0, x1)) -> c77(A__U81(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1), A__ISNATKIND(0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(z0, x1)) -> c77(A__U81(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) S tuples: A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1), A__ISNATKIND(0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(z0, x1)) -> c77(A__U81(isNatKind(z0), z0, x1), A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1 Compound Symbols: c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2 ---------------------------------------- (141) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (142) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) S tuples: A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: A__LENGTH_1, MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1 Compound Symbols: c80_2, c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1 ---------------------------------------- (143) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__LENGTH(cons(z0, z1)) -> c80(A__U91(a__isNatList(z1), z1, z0), A__ISNATLIST(z1)) by A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0), A__ISNATLIST(nil)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, z0)) -> c80(A__U91(isNatList(z0), z0, x0), A__ISNATLIST(z0)) ---------------------------------------- (144) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0), A__ISNATLIST(nil)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, z0)) -> c80(A__U91(isNatList(z0), z0, x0), A__ISNATLIST(z0)) S tuples: MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0), A__ISNATLIST(nil)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, z0)) -> c80(A__U91(isNatList(z0), z0, x0), A__ISNATLIST(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2 ---------------------------------------- (145) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (146) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) S tuples: MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c83_2, c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1 ---------------------------------------- (147) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U11(z0, z1)) -> c83(A__U11(mark(z0), z1), MARK(z0)) by MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1), MARK(zeros)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(isNatIListKind(z0), x1)) -> c83(A__U11(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(isNatList(z0), x1)) -> c83(A__U11(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(isNatKind(z0), x1)) -> c83(A__U11(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(isNat(z0), x1)) -> c83(A__U11(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(isNatIList(z0), x1)) -> c83(A__U11(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(cons(z0, z1), x1)) -> c83(A__U11(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U11(0, x1)) -> c83(A__U11(0, x1), MARK(0)) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1), MARK(tt)) MARK(U11(s(z0), x1)) -> c83(A__U11(s(mark(z0)), x1), MARK(s(z0))) MARK(U11(nil, x1)) -> c83(A__U11(nil, x1), MARK(nil)) ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1), MARK(zeros)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(isNatIListKind(z0), x1)) -> c83(A__U11(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(isNatList(z0), x1)) -> c83(A__U11(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(isNatKind(z0), x1)) -> c83(A__U11(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(isNat(z0), x1)) -> c83(A__U11(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(isNatIList(z0), x1)) -> c83(A__U11(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(cons(z0, z1), x1)) -> c83(A__U11(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U11(0, x1)) -> c83(A__U11(0, x1), MARK(0)) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1), MARK(tt)) MARK(U11(s(z0), x1)) -> c83(A__U11(s(mark(z0)), x1), MARK(s(z0))) MARK(U11(nil, x1)) -> c83(A__U11(nil, x1), MARK(nil)) S tuples: MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1), MARK(zeros)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(isNatIListKind(z0), x1)) -> c83(A__U11(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(isNatList(z0), x1)) -> c83(A__U11(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(isNatKind(z0), x1)) -> c83(A__U11(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(isNat(z0), x1)) -> c83(A__U11(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(isNatIList(z0), x1)) -> c83(A__U11(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(cons(z0, z1), x1)) -> c83(A__U11(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U11(0, x1)) -> c83(A__U11(0, x1), MARK(0)) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1), MARK(tt)) MARK(U11(s(z0), x1)) -> c83(A__U11(s(mark(z0)), x1), MARK(s(z0))) MARK(U11(nil, x1)) -> c83(A__U11(nil, x1), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2 ---------------------------------------- (149) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U11(nil, x1)) -> c83(A__U11(nil, x1), MARK(nil)) MARK(U11(0, x1)) -> c83(A__U11(0, x1), MARK(0)) ---------------------------------------- (150) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1), MARK(zeros)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(isNatIListKind(z0), x1)) -> c83(A__U11(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(isNatList(z0), x1)) -> c83(A__U11(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(isNatKind(z0), x1)) -> c83(A__U11(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(isNat(z0), x1)) -> c83(A__U11(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(isNatIList(z0), x1)) -> c83(A__U11(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(cons(z0, z1), x1)) -> c83(A__U11(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1), MARK(tt)) MARK(U11(s(z0), x1)) -> c83(A__U11(s(mark(z0)), x1), MARK(s(z0))) S tuples: MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1), MARK(zeros)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(isNatIListKind(z0), x1)) -> c83(A__U11(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(isNatList(z0), x1)) -> c83(A__U11(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(isNatKind(z0), x1)) -> c83(A__U11(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(isNat(z0), x1)) -> c83(A__U11(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(isNatIList(z0), x1)) -> c83(A__U11(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(cons(z0, z1), x1)) -> c83(A__U11(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1), MARK(tt)) MARK(U11(s(z0), x1)) -> c83(A__U11(s(mark(z0)), x1), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2 ---------------------------------------- (151) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(isNatIListKind(z0), x1)) -> c83(A__U11(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(isNatList(z0), x1)) -> c83(A__U11(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(isNatKind(z0), x1)) -> c83(A__U11(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(isNat(z0), x1)) -> c83(A__U11(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(isNatIList(z0), x1)) -> c83(A__U11(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) S tuples: MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(isNatIListKind(z0), x1)) -> c83(A__U11(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(isNatList(z0), x1)) -> c83(A__U11(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(isNatKind(z0), x1)) -> c83(A__U11(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(isNat(z0), x1)) -> c83(A__U11(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(isNatIList(z0), x1)) -> c83(A__U11(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1 ---------------------------------------- (153) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (154) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) S tuples: MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c84_2, c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1 ---------------------------------------- (155) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U12(z0, z1)) -> c84(A__U12(mark(z0), z1), MARK(z0)) by MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1), MARK(zeros)) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(isNatIListKind(z0), x1)) -> c84(A__U12(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(isNatList(z0), x1)) -> c84(A__U12(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c84(A__U12(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(isNat(z0), x1)) -> c84(A__U12(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(isNatIList(z0), x1)) -> c84(A__U12(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(cons(z0, z1), x1)) -> c84(A__U12(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U12(0, x1)) -> c84(A__U12(0, x1), MARK(0)) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1), MARK(tt)) MARK(U12(s(z0), x1)) -> c84(A__U12(s(mark(z0)), x1), MARK(s(z0))) MARK(U12(nil, x1)) -> c84(A__U12(nil, x1), MARK(nil)) ---------------------------------------- (156) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1), MARK(zeros)) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(isNatIListKind(z0), x1)) -> c84(A__U12(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(isNatList(z0), x1)) -> c84(A__U12(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c84(A__U12(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(isNat(z0), x1)) -> c84(A__U12(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(isNatIList(z0), x1)) -> c84(A__U12(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(cons(z0, z1), x1)) -> c84(A__U12(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U12(0, x1)) -> c84(A__U12(0, x1), MARK(0)) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1), MARK(tt)) MARK(U12(s(z0), x1)) -> c84(A__U12(s(mark(z0)), x1), MARK(s(z0))) MARK(U12(nil, x1)) -> c84(A__U12(nil, x1), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1), MARK(zeros)) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(isNatIListKind(z0), x1)) -> c84(A__U12(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(isNatList(z0), x1)) -> c84(A__U12(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c84(A__U12(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(isNat(z0), x1)) -> c84(A__U12(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(isNatIList(z0), x1)) -> c84(A__U12(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(cons(z0, z1), x1)) -> c84(A__U12(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U12(0, x1)) -> c84(A__U12(0, x1), MARK(0)) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1), MARK(tt)) MARK(U12(s(z0), x1)) -> c84(A__U12(s(mark(z0)), x1), MARK(s(z0))) MARK(U12(nil, x1)) -> c84(A__U12(nil, x1), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2 ---------------------------------------- (157) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U12(0, x1)) -> c84(A__U12(0, x1), MARK(0)) MARK(U12(nil, x1)) -> c84(A__U12(nil, x1), MARK(nil)) ---------------------------------------- (158) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1), MARK(zeros)) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(isNatIListKind(z0), x1)) -> c84(A__U12(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(isNatList(z0), x1)) -> c84(A__U12(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c84(A__U12(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(isNat(z0), x1)) -> c84(A__U12(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(isNatIList(z0), x1)) -> c84(A__U12(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(cons(z0, z1), x1)) -> c84(A__U12(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1), MARK(tt)) MARK(U12(s(z0), x1)) -> c84(A__U12(s(mark(z0)), x1), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1), MARK(zeros)) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(isNatIListKind(z0), x1)) -> c84(A__U12(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(isNatList(z0), x1)) -> c84(A__U12(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c84(A__U12(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(isNat(z0), x1)) -> c84(A__U12(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(isNatIList(z0), x1)) -> c84(A__U12(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(cons(z0, z1), x1)) -> c84(A__U12(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1), MARK(tt)) MARK(U12(s(z0), x1)) -> c84(A__U12(s(mark(z0)), x1), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2 ---------------------------------------- (159) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (160) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(isNatIListKind(z0), x1)) -> c84(A__U12(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(isNatList(z0), x1)) -> c84(A__U12(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c84(A__U12(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(isNat(z0), x1)) -> c84(A__U12(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(isNatIList(z0), x1)) -> c84(A__U12(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(isNatIListKind(z0), x1)) -> c84(A__U12(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(isNatList(z0), x1)) -> c84(A__U12(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c84(A__U12(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(isNat(z0), x1)) -> c84(A__U12(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(isNatIList(z0), x1)) -> c84(A__U12(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1 ---------------------------------------- (161) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (162) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c88_2, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1 ---------------------------------------- (163) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U21(z0, z1)) -> c88(A__U21(mark(z0), z1), MARK(z0)) by MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1), MARK(zeros)) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(isNatIListKind(z0), x1)) -> c88(A__U21(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(isNatList(z0), x1)) -> c88(A__U21(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(isNatKind(z0), x1)) -> c88(A__U21(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(isNat(z0), x1)) -> c88(A__U21(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(isNatIList(z0), x1)) -> c88(A__U21(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(cons(z0, z1), x1)) -> c88(A__U21(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U21(0, x1)) -> c88(A__U21(0, x1), MARK(0)) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1), MARK(tt)) MARK(U21(s(z0), x1)) -> c88(A__U21(s(mark(z0)), x1), MARK(s(z0))) MARK(U21(nil, x1)) -> c88(A__U21(nil, x1), MARK(nil)) ---------------------------------------- (164) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1), MARK(zeros)) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(isNatIListKind(z0), x1)) -> c88(A__U21(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(isNatList(z0), x1)) -> c88(A__U21(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(isNatKind(z0), x1)) -> c88(A__U21(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(isNat(z0), x1)) -> c88(A__U21(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(isNatIList(z0), x1)) -> c88(A__U21(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(cons(z0, z1), x1)) -> c88(A__U21(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U21(0, x1)) -> c88(A__U21(0, x1), MARK(0)) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1), MARK(tt)) MARK(U21(s(z0), x1)) -> c88(A__U21(s(mark(z0)), x1), MARK(s(z0))) MARK(U21(nil, x1)) -> c88(A__U21(nil, x1), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1), MARK(zeros)) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(isNatIListKind(z0), x1)) -> c88(A__U21(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(isNatList(z0), x1)) -> c88(A__U21(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(isNatKind(z0), x1)) -> c88(A__U21(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(isNat(z0), x1)) -> c88(A__U21(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(isNatIList(z0), x1)) -> c88(A__U21(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(cons(z0, z1), x1)) -> c88(A__U21(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U21(0, x1)) -> c88(A__U21(0, x1), MARK(0)) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1), MARK(tt)) MARK(U21(s(z0), x1)) -> c88(A__U21(s(mark(z0)), x1), MARK(s(z0))) MARK(U21(nil, x1)) -> c88(A__U21(nil, x1), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2 ---------------------------------------- (165) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U21(nil, x1)) -> c88(A__U21(nil, x1), MARK(nil)) MARK(U21(0, x1)) -> c88(A__U21(0, x1), MARK(0)) ---------------------------------------- (166) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1), MARK(zeros)) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(isNatIListKind(z0), x1)) -> c88(A__U21(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(isNatList(z0), x1)) -> c88(A__U21(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(isNatKind(z0), x1)) -> c88(A__U21(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(isNat(z0), x1)) -> c88(A__U21(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(isNatIList(z0), x1)) -> c88(A__U21(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(cons(z0, z1), x1)) -> c88(A__U21(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1), MARK(tt)) MARK(U21(s(z0), x1)) -> c88(A__U21(s(mark(z0)), x1), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1), MARK(zeros)) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(isNatIListKind(z0), x1)) -> c88(A__U21(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(isNatList(z0), x1)) -> c88(A__U21(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(isNatKind(z0), x1)) -> c88(A__U21(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(isNat(z0), x1)) -> c88(A__U21(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(isNatIList(z0), x1)) -> c88(A__U21(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(cons(z0, z1), x1)) -> c88(A__U21(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1), MARK(tt)) MARK(U21(s(z0), x1)) -> c88(A__U21(s(mark(z0)), x1), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2 ---------------------------------------- (167) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (168) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(isNatIListKind(z0), x1)) -> c88(A__U21(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(isNatList(z0), x1)) -> c88(A__U21(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(isNatKind(z0), x1)) -> c88(A__U21(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(isNat(z0), x1)) -> c88(A__U21(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(isNatIList(z0), x1)) -> c88(A__U21(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(isNatIListKind(z0), x1)) -> c88(A__U21(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(isNatList(z0), x1)) -> c88(A__U21(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(isNatKind(z0), x1)) -> c88(A__U21(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(isNat(z0), x1)) -> c88(A__U21(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(isNatIList(z0), x1)) -> c88(A__U21(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1 ---------------------------------------- (169) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (170) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c89_2, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1 ---------------------------------------- (171) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U22(z0, z1)) -> c89(A__U22(mark(z0), z1), MARK(z0)) by MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1), MARK(zeros)) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(isNatIListKind(z0), x1)) -> c89(A__U22(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(isNatList(z0), x1)) -> c89(A__U22(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(isNatKind(z0), x1)) -> c89(A__U22(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(isNat(z0), x1)) -> c89(A__U22(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(isNatIList(z0), x1)) -> c89(A__U22(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(cons(z0, z1), x1)) -> c89(A__U22(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U22(0, x1)) -> c89(A__U22(0, x1), MARK(0)) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1), MARK(tt)) MARK(U22(s(z0), x1)) -> c89(A__U22(s(mark(z0)), x1), MARK(s(z0))) MARK(U22(nil, x1)) -> c89(A__U22(nil, x1), MARK(nil)) ---------------------------------------- (172) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1), MARK(zeros)) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(isNatIListKind(z0), x1)) -> c89(A__U22(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(isNatList(z0), x1)) -> c89(A__U22(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(isNatKind(z0), x1)) -> c89(A__U22(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(isNat(z0), x1)) -> c89(A__U22(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(isNatIList(z0), x1)) -> c89(A__U22(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(cons(z0, z1), x1)) -> c89(A__U22(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U22(0, x1)) -> c89(A__U22(0, x1), MARK(0)) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1), MARK(tt)) MARK(U22(s(z0), x1)) -> c89(A__U22(s(mark(z0)), x1), MARK(s(z0))) MARK(U22(nil, x1)) -> c89(A__U22(nil, x1), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1), MARK(zeros)) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(isNatIListKind(z0), x1)) -> c89(A__U22(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(isNatList(z0), x1)) -> c89(A__U22(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(isNatKind(z0), x1)) -> c89(A__U22(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(isNat(z0), x1)) -> c89(A__U22(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(isNatIList(z0), x1)) -> c89(A__U22(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(cons(z0, z1), x1)) -> c89(A__U22(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U22(0, x1)) -> c89(A__U22(0, x1), MARK(0)) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1), MARK(tt)) MARK(U22(s(z0), x1)) -> c89(A__U22(s(mark(z0)), x1), MARK(s(z0))) MARK(U22(nil, x1)) -> c89(A__U22(nil, x1), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2 ---------------------------------------- (173) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U22(0, x1)) -> c89(A__U22(0, x1), MARK(0)) MARK(U22(nil, x1)) -> c89(A__U22(nil, x1), MARK(nil)) ---------------------------------------- (174) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1), MARK(zeros)) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(isNatIListKind(z0), x1)) -> c89(A__U22(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(isNatList(z0), x1)) -> c89(A__U22(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(isNatKind(z0), x1)) -> c89(A__U22(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(isNat(z0), x1)) -> c89(A__U22(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(isNatIList(z0), x1)) -> c89(A__U22(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(cons(z0, z1), x1)) -> c89(A__U22(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1), MARK(tt)) MARK(U22(s(z0), x1)) -> c89(A__U22(s(mark(z0)), x1), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1), MARK(zeros)) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(isNatIListKind(z0), x1)) -> c89(A__U22(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(isNatList(z0), x1)) -> c89(A__U22(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(isNatKind(z0), x1)) -> c89(A__U22(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(isNat(z0), x1)) -> c89(A__U22(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(isNatIList(z0), x1)) -> c89(A__U22(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(cons(z0, z1), x1)) -> c89(A__U22(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1), MARK(tt)) MARK(U22(s(z0), x1)) -> c89(A__U22(s(mark(z0)), x1), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2 ---------------------------------------- (175) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (176) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(isNatIListKind(z0), x1)) -> c89(A__U22(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(isNatList(z0), x1)) -> c89(A__U22(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(isNatKind(z0), x1)) -> c89(A__U22(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(isNat(z0), x1)) -> c89(A__U22(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(isNatIList(z0), x1)) -> c89(A__U22(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(isNatIListKind(z0), x1)) -> c89(A__U22(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(isNatList(z0), x1)) -> c89(A__U22(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(isNatKind(z0), x1)) -> c89(A__U22(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(isNat(z0), x1)) -> c89(A__U22(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(isNatIList(z0), x1)) -> c89(A__U22(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1 ---------------------------------------- (177) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (178) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c93_2, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1 ---------------------------------------- (179) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U31(z0, z1)) -> c93(A__U31(mark(z0), z1), MARK(z0)) by MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1), MARK(zeros)) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(isNatIListKind(z0), x1)) -> c93(A__U31(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(isNatList(z0), x1)) -> c93(A__U31(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(isNatKind(z0), x1)) -> c93(A__U31(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(isNat(z0), x1)) -> c93(A__U31(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(isNatIList(z0), x1)) -> c93(A__U31(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(cons(z0, z1), x1)) -> c93(A__U31(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U31(0, x1)) -> c93(A__U31(0, x1), MARK(0)) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1), MARK(tt)) MARK(U31(s(z0), x1)) -> c93(A__U31(s(mark(z0)), x1), MARK(s(z0))) MARK(U31(nil, x1)) -> c93(A__U31(nil, x1), MARK(nil)) ---------------------------------------- (180) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1), MARK(zeros)) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(isNatIListKind(z0), x1)) -> c93(A__U31(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(isNatList(z0), x1)) -> c93(A__U31(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(isNatKind(z0), x1)) -> c93(A__U31(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(isNat(z0), x1)) -> c93(A__U31(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(isNatIList(z0), x1)) -> c93(A__U31(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(cons(z0, z1), x1)) -> c93(A__U31(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U31(0, x1)) -> c93(A__U31(0, x1), MARK(0)) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1), MARK(tt)) MARK(U31(s(z0), x1)) -> c93(A__U31(s(mark(z0)), x1), MARK(s(z0))) MARK(U31(nil, x1)) -> c93(A__U31(nil, x1), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1), MARK(zeros)) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(isNatIListKind(z0), x1)) -> c93(A__U31(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(isNatList(z0), x1)) -> c93(A__U31(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(isNatKind(z0), x1)) -> c93(A__U31(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(isNat(z0), x1)) -> c93(A__U31(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(isNatIList(z0), x1)) -> c93(A__U31(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(cons(z0, z1), x1)) -> c93(A__U31(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U31(0, x1)) -> c93(A__U31(0, x1), MARK(0)) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1), MARK(tt)) MARK(U31(s(z0), x1)) -> c93(A__U31(s(mark(z0)), x1), MARK(s(z0))) MARK(U31(nil, x1)) -> c93(A__U31(nil, x1), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2 ---------------------------------------- (181) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U31(0, x1)) -> c93(A__U31(0, x1), MARK(0)) MARK(U31(nil, x1)) -> c93(A__U31(nil, x1), MARK(nil)) ---------------------------------------- (182) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1), MARK(zeros)) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(isNatIListKind(z0), x1)) -> c93(A__U31(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(isNatList(z0), x1)) -> c93(A__U31(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(isNatKind(z0), x1)) -> c93(A__U31(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(isNat(z0), x1)) -> c93(A__U31(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(isNatIList(z0), x1)) -> c93(A__U31(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(cons(z0, z1), x1)) -> c93(A__U31(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1), MARK(tt)) MARK(U31(s(z0), x1)) -> c93(A__U31(s(mark(z0)), x1), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), 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MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1), MARK(zeros)) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(isNatIListKind(z0), x1)) -> c93(A__U31(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(isNatList(z0), x1)) -> c93(A__U31(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(isNatKind(z0), x1)) -> c93(A__U31(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(isNat(z0), x1)) -> c93(A__U31(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(isNatIList(z0), x1)) -> c93(A__U31(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(cons(z0, z1), x1)) -> c93(A__U31(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1), MARK(tt)) MARK(U31(s(z0), x1)) -> c93(A__U31(s(mark(z0)), x1), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2 ---------------------------------------- (183) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (184) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(isNatIListKind(z0), x1)) -> c93(A__U31(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(isNatList(z0), x1)) -> c93(A__U31(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(isNatKind(z0), x1)) -> c93(A__U31(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(isNat(z0), x1)) -> c93(A__U31(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(isNatIList(z0), x1)) -> c93(A__U31(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(isNatIListKind(z0), x1)) -> c93(A__U31(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(isNatList(z0), x1)) -> c93(A__U31(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(isNatKind(z0), x1)) -> c93(A__U31(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(isNat(z0), x1)) -> c93(A__U31(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(isNatIList(z0), x1)) -> c93(A__U31(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1 ---------------------------------------- (185) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (186) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, 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MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), 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MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c94_2, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1 ---------------------------------------- (187) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U32(z0, z1)) -> c94(A__U32(mark(z0), z1), MARK(z0)) by MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1), MARK(zeros)) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(isNatIListKind(z0), x1)) -> c94(A__U32(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(isNatList(z0), x1)) -> c94(A__U32(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(isNatKind(z0), x1)) -> c94(A__U32(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(isNat(z0), x1)) -> c94(A__U32(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(isNatIList(z0), x1)) -> c94(A__U32(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(cons(z0, z1), x1)) -> c94(A__U32(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U32(0, x1)) -> c94(A__U32(0, x1), MARK(0)) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1), MARK(tt)) MARK(U32(s(z0), x1)) -> c94(A__U32(s(mark(z0)), x1), MARK(s(z0))) MARK(U32(nil, x1)) -> c94(A__U32(nil, x1), MARK(nil)) ---------------------------------------- (188) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1), MARK(zeros)) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(isNatIListKind(z0), x1)) -> c94(A__U32(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(isNatList(z0), x1)) -> c94(A__U32(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(isNatKind(z0), x1)) -> c94(A__U32(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(isNat(z0), x1)) -> c94(A__U32(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(isNatIList(z0), x1)) -> c94(A__U32(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(cons(z0, z1), x1)) -> c94(A__U32(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U32(0, x1)) -> c94(A__U32(0, x1), MARK(0)) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1), MARK(tt)) MARK(U32(s(z0), x1)) -> c94(A__U32(s(mark(z0)), x1), MARK(s(z0))) MARK(U32(nil, x1)) -> c94(A__U32(nil, x1), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1), MARK(zeros)) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(isNatIListKind(z0), x1)) -> c94(A__U32(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(isNatList(z0), x1)) -> c94(A__U32(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(isNatKind(z0), x1)) -> c94(A__U32(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(isNat(z0), x1)) -> c94(A__U32(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(isNatIList(z0), x1)) -> c94(A__U32(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(cons(z0, z1), x1)) -> c94(A__U32(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U32(0, x1)) -> c94(A__U32(0, x1), MARK(0)) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1), MARK(tt)) MARK(U32(s(z0), x1)) -> c94(A__U32(s(mark(z0)), x1), MARK(s(z0))) MARK(U32(nil, x1)) -> c94(A__U32(nil, x1), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2 ---------------------------------------- (189) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U32(0, x1)) -> c94(A__U32(0, x1), MARK(0)) MARK(U32(nil, x1)) -> c94(A__U32(nil, x1), MARK(nil)) ---------------------------------------- (190) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1), MARK(zeros)) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(isNatIListKind(z0), x1)) -> c94(A__U32(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(isNatList(z0), x1)) -> c94(A__U32(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(isNatKind(z0), x1)) -> c94(A__U32(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(isNat(z0), x1)) -> c94(A__U32(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(isNatIList(z0), x1)) -> c94(A__U32(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(cons(z0, z1), x1)) -> c94(A__U32(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1), MARK(tt)) MARK(U32(s(z0), x1)) -> c94(A__U32(s(mark(z0)), x1), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1), MARK(zeros)) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(isNatIListKind(z0), x1)) -> c94(A__U32(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(isNatList(z0), x1)) -> c94(A__U32(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(isNatKind(z0), x1)) -> c94(A__U32(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(isNat(z0), x1)) -> c94(A__U32(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(isNatIList(z0), x1)) -> c94(A__U32(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(cons(z0, z1), x1)) -> c94(A__U32(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1), MARK(tt)) MARK(U32(s(z0), x1)) -> c94(A__U32(s(mark(z0)), x1), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2 ---------------------------------------- (191) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (192) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(isNatIListKind(z0), x1)) -> c94(A__U32(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(isNatList(z0), x1)) -> c94(A__U32(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(isNatKind(z0), x1)) -> c94(A__U32(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(isNat(z0), x1)) -> c94(A__U32(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(isNatIList(z0), x1)) -> c94(A__U32(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(isNatIListKind(z0), x1)) -> c94(A__U32(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(isNatList(z0), x1)) -> c94(A__U32(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(isNatKind(z0), x1)) -> c94(A__U32(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(isNat(z0), x1)) -> c94(A__U32(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(isNatIList(z0), x1)) -> c94(A__U32(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1 ---------------------------------------- (193) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (194) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), 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x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c96_2, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1 ---------------------------------------- (195) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U41(z0, z1, z2)) -> c96(A__U41(mark(z0), z1, z2), MARK(z0)) by MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2), MARK(zeros)) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c96(A__U41(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c96(A__U41(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(isNatKind(z0), x1, x2)) -> c96(A__U41(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(isNat(z0), x1, x2)) -> c96(A__U41(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c96(A__U41(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(cons(z0, z1), x1, x2)) -> c96(A__U41(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U41(0, x1, x2)) -> c96(A__U41(0, x1, x2), MARK(0)) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2), MARK(tt)) MARK(U41(s(z0), x1, x2)) -> c96(A__U41(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U41(nil, x1, x2)) -> c96(A__U41(nil, x1, x2), MARK(nil)) ---------------------------------------- (196) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2), MARK(zeros)) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c96(A__U41(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c96(A__U41(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(isNatKind(z0), x1, x2)) -> c96(A__U41(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(isNat(z0), x1, x2)) -> c96(A__U41(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c96(A__U41(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(cons(z0, z1), x1, x2)) -> c96(A__U41(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U41(0, x1, x2)) -> c96(A__U41(0, x1, x2), MARK(0)) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2), MARK(tt)) MARK(U41(s(z0), x1, x2)) -> c96(A__U41(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U41(nil, x1, x2)) -> c96(A__U41(nil, x1, x2), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> 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c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), 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c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), 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MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2), MARK(zeros)) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c96(A__U41(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c96(A__U41(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(isNatKind(z0), x1, x2)) -> c96(A__U41(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(isNat(z0), x1, x2)) -> c96(A__U41(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c96(A__U41(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(cons(z0, z1), x1, x2)) -> c96(A__U41(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U41(0, x1, x2)) -> c96(A__U41(0, x1, x2), MARK(0)) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2), MARK(tt)) MARK(U41(s(z0), x1, x2)) -> c96(A__U41(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U41(nil, x1, x2)) -> c96(A__U41(nil, x1, x2), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2 ---------------------------------------- (197) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U41(0, x1, x2)) -> c96(A__U41(0, x1, x2), MARK(0)) MARK(U41(nil, x1, x2)) -> c96(A__U41(nil, x1, x2), MARK(nil)) ---------------------------------------- (198) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2), MARK(zeros)) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c96(A__U41(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c96(A__U41(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(isNatKind(z0), x1, x2)) -> c96(A__U41(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(isNat(z0), x1, x2)) -> c96(A__U41(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c96(A__U41(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(cons(z0, z1), x1, x2)) -> c96(A__U41(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2), MARK(tt)) MARK(U41(s(z0), x1, x2)) -> c96(A__U41(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), 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x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2), MARK(zeros)) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c96(A__U41(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c96(A__U41(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(isNatKind(z0), x1, x2)) -> c96(A__U41(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(isNat(z0), x1, x2)) -> c96(A__U41(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c96(A__U41(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(cons(z0, z1), x1, x2)) -> c96(A__U41(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2), MARK(tt)) MARK(U41(s(z0), x1, x2)) -> c96(A__U41(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2 ---------------------------------------- (199) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (200) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), 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c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), 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MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c96(A__U41(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c96(A__U41(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(isNatKind(z0), x1, x2)) -> c96(A__U41(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(isNat(z0), x1, x2)) -> c96(A__U41(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c96(A__U41(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), 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c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), 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MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c96(A__U41(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c96(A__U41(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(isNatKind(z0), x1, x2)) -> c96(A__U41(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(isNat(z0), x1, x2)) -> c96(A__U41(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c96(A__U41(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1 ---------------------------------------- (201) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (202) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), 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c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), 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c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), 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MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c97_2, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1 ---------------------------------------- (203) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U42(z0, z1, z2)) -> c97(A__U42(mark(z0), z1, z2), MARK(z0)) by MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2), MARK(zeros)) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c97(A__U42(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c97(A__U42(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(isNatKind(z0), x1, x2)) -> c97(A__U42(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(isNat(z0), x1, x2)) -> c97(A__U42(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c97(A__U42(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(cons(z0, z1), x1, x2)) -> c97(A__U42(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U42(0, x1, x2)) -> c97(A__U42(0, x1, x2), MARK(0)) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2), MARK(tt)) MARK(U42(s(z0), x1, x2)) -> c97(A__U42(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U42(nil, x1, x2)) -> c97(A__U42(nil, x1, x2), MARK(nil)) ---------------------------------------- (204) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), 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MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> 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c97(A__U42(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c97(A__U42(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(isNatKind(z0), x1, x2)) -> c97(A__U42(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(isNat(z0), x1, x2)) -> c97(A__U42(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c97(A__U42(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(cons(z0, z1), x1, x2)) -> c97(A__U42(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U42(0, x1, x2)) -> c97(A__U42(0, x1, x2), MARK(0)) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2), MARK(tt)) MARK(U42(s(z0), x1, x2)) -> c97(A__U42(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U42(nil, x1, x2)) -> c97(A__U42(nil, x1, x2), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, 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MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), 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MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2), MARK(zeros)) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c97(A__U42(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c97(A__U42(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(isNatKind(z0), x1, x2)) -> c97(A__U42(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(isNat(z0), x1, x2)) -> c97(A__U42(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c97(A__U42(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(cons(z0, z1), x1, x2)) -> c97(A__U42(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U42(0, x1, x2)) -> c97(A__U42(0, x1, x2), MARK(0)) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2), MARK(tt)) MARK(U42(s(z0), x1, x2)) -> c97(A__U42(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U42(nil, x1, x2)) -> c97(A__U42(nil, x1, x2), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2 ---------------------------------------- (205) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U42(0, x1, x2)) -> c97(A__U42(0, x1, x2), MARK(0)) MARK(U42(nil, x1, x2)) -> c97(A__U42(nil, x1, x2), MARK(nil)) ---------------------------------------- (206) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2), MARK(zeros)) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c97(A__U42(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c97(A__U42(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(isNatKind(z0), x1, x2)) -> c97(A__U42(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(isNat(z0), x1, x2)) -> c97(A__U42(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c97(A__U42(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(cons(z0, z1), x1, x2)) -> c97(A__U42(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2), MARK(tt)) MARK(U42(s(z0), x1, x2)) -> c97(A__U42(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2), MARK(zeros)) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c97(A__U42(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c97(A__U42(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(isNatKind(z0), x1, x2)) -> c97(A__U42(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(isNat(z0), x1, x2)) -> c97(A__U42(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c97(A__U42(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(cons(z0, z1), x1, x2)) -> c97(A__U42(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2), MARK(tt)) MARK(U42(s(z0), x1, x2)) -> c97(A__U42(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2 ---------------------------------------- (207) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (208) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c97(A__U42(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c97(A__U42(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(isNatKind(z0), x1, x2)) -> c97(A__U42(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(isNat(z0), x1, x2)) -> c97(A__U42(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c97(A__U42(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, 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c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c97(A__U42(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c97(A__U42(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(isNatKind(z0), x1, x2)) -> c97(A__U42(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(isNat(z0), x1, x2)) -> c97(A__U42(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c97(A__U42(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1 ---------------------------------------- (209) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (210) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c98_2, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1 ---------------------------------------- (211) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U43(z0, z1, z2)) -> c98(A__U43(mark(z0), z1, z2), MARK(z0)) by MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2), MARK(zeros)) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c98(A__U43(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c98(A__U43(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(isNatKind(z0), x1, x2)) -> c98(A__U43(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(isNat(z0), x1, x2)) -> c98(A__U43(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c98(A__U43(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(cons(z0, z1), x1, x2)) -> c98(A__U43(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U43(0, x1, x2)) -> c98(A__U43(0, x1, x2), MARK(0)) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2), MARK(tt)) MARK(U43(s(z0), x1, x2)) -> c98(A__U43(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U43(nil, x1, x2)) -> c98(A__U43(nil, x1, x2), MARK(nil)) ---------------------------------------- (212) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2), MARK(zeros)) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c98(A__U43(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c98(A__U43(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(isNatKind(z0), x1, x2)) -> c98(A__U43(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(isNat(z0), x1, x2)) -> c98(A__U43(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c98(A__U43(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(cons(z0, z1), x1, x2)) -> c98(A__U43(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U43(0, x1, x2)) -> c98(A__U43(0, x1, x2), MARK(0)) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2), MARK(tt)) MARK(U43(s(z0), x1, x2)) -> c98(A__U43(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U43(nil, x1, x2)) -> c98(A__U43(nil, x1, x2), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2), MARK(zeros)) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c98(A__U43(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c98(A__U43(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(isNatKind(z0), x1, x2)) -> c98(A__U43(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(isNat(z0), x1, x2)) -> c98(A__U43(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c98(A__U43(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(cons(z0, z1), x1, x2)) -> c98(A__U43(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U43(0, x1, x2)) -> c98(A__U43(0, x1, x2), MARK(0)) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2), MARK(tt)) MARK(U43(s(z0), x1, x2)) -> c98(A__U43(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U43(nil, x1, x2)) -> c98(A__U43(nil, x1, x2), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2 ---------------------------------------- (213) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U43(nil, x1, x2)) -> c98(A__U43(nil, x1, x2), MARK(nil)) MARK(U43(0, x1, x2)) -> c98(A__U43(0, x1, x2), MARK(0)) ---------------------------------------- (214) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2), MARK(zeros)) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c98(A__U43(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c98(A__U43(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(isNatKind(z0), x1, x2)) -> c98(A__U43(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(isNat(z0), x1, x2)) -> c98(A__U43(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c98(A__U43(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(cons(z0, z1), x1, x2)) -> c98(A__U43(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2), MARK(tt)) MARK(U43(s(z0), x1, x2)) -> c98(A__U43(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2), MARK(zeros)) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c98(A__U43(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c98(A__U43(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(isNatKind(z0), x1, x2)) -> c98(A__U43(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(isNat(z0), x1, x2)) -> c98(A__U43(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c98(A__U43(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(cons(z0, z1), x1, x2)) -> c98(A__U43(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2), MARK(tt)) MARK(U43(s(z0), x1, x2)) -> c98(A__U43(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2 ---------------------------------------- (215) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (216) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c98(A__U43(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c98(A__U43(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(isNatKind(z0), x1, x2)) -> c98(A__U43(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(isNat(z0), x1, x2)) -> c98(A__U43(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c98(A__U43(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c98(A__U43(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c98(A__U43(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(isNatKind(z0), x1, x2)) -> c98(A__U43(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(isNat(z0), x1, x2)) -> c98(A__U43(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c98(A__U43(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1 ---------------------------------------- (217) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (218) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, 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MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> 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c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c99_2, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1 ---------------------------------------- (219) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U44(z0, z1, z2)) -> c99(A__U44(mark(z0), z1, z2), MARK(z0)) by MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2), MARK(zeros)) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c99(A__U44(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c99(A__U44(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(isNatKind(z0), x1, x2)) -> c99(A__U44(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(isNat(z0), x1, x2)) -> c99(A__U44(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c99(A__U44(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(cons(z0, z1), x1, x2)) -> c99(A__U44(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U44(0, x1, x2)) -> c99(A__U44(0, x1, x2), MARK(0)) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2), MARK(tt)) MARK(U44(s(z0), x1, x2)) -> c99(A__U44(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U44(nil, x1, x2)) -> c99(A__U44(nil, x1, x2), MARK(nil)) ---------------------------------------- (220) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), 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c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), 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c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), 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MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2), MARK(zeros)) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c99(A__U44(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c99(A__U44(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(isNatKind(z0), x1, x2)) -> c99(A__U44(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(isNat(z0), x1, x2)) -> c99(A__U44(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c99(A__U44(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(cons(z0, z1), x1, x2)) -> c99(A__U44(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U44(0, x1, x2)) -> c99(A__U44(0, x1, x2), MARK(0)) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2), MARK(tt)) MARK(U44(s(z0), x1, x2)) -> c99(A__U44(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U44(nil, x1, x2)) -> c99(A__U44(nil, x1, x2), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) 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MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) 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x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) 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c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2), MARK(zeros)) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c99(A__U44(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c99(A__U44(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(isNatKind(z0), x1, x2)) -> c99(A__U44(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(isNat(z0), x1, x2)) -> c99(A__U44(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c99(A__U44(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(cons(z0, z1), x1, x2)) -> c99(A__U44(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U44(0, x1, x2)) -> c99(A__U44(0, x1, x2), MARK(0)) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2), MARK(tt)) MARK(U44(s(z0), x1, x2)) -> c99(A__U44(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U44(nil, x1, x2)) -> c99(A__U44(nil, x1, x2), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2 ---------------------------------------- (221) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U44(nil, x1, x2)) -> c99(A__U44(nil, x1, x2), MARK(nil)) MARK(U44(0, x1, x2)) -> c99(A__U44(0, x1, x2), MARK(0)) ---------------------------------------- (222) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) 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MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> 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MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), 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MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2), MARK(zeros)) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c99(A__U44(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c99(A__U44(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(isNatKind(z0), x1, x2)) -> c99(A__U44(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(isNat(z0), x1, x2)) -> c99(A__U44(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c99(A__U44(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(cons(z0, z1), x1, x2)) -> c99(A__U44(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2), MARK(tt)) MARK(U44(s(z0), x1, x2)) -> c99(A__U44(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2), MARK(zeros)) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c99(A__U44(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c99(A__U44(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(isNatKind(z0), x1, x2)) -> c99(A__U44(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(isNat(z0), x1, x2)) -> c99(A__U44(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c99(A__U44(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(cons(z0, z1), x1, x2)) -> c99(A__U44(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2), MARK(tt)) MARK(U44(s(z0), x1, x2)) -> c99(A__U44(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2 ---------------------------------------- (223) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (224) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, 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MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) 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MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> 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x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c99(A__U44(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c99(A__U44(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(isNatKind(z0), x1, x2)) -> c99(A__U44(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(isNat(z0), x1, x2)) -> c99(A__U44(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c99(A__U44(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c99(A__U44(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c99(A__U44(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(isNatKind(z0), x1, x2)) -> c99(A__U44(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(isNat(z0), x1, x2)) -> c99(A__U44(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c99(A__U44(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1 ---------------------------------------- (225) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (226) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), 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MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), 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c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c100_2, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1 ---------------------------------------- (227) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U45(z0, z1)) -> c100(A__U45(mark(z0), z1), MARK(z0)) by MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1), MARK(zeros)) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(isNatIListKind(z0), x1)) -> c100(A__U45(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(isNatList(z0), x1)) -> c100(A__U45(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(isNatKind(z0), x1)) -> c100(A__U45(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(isNat(z0), x1)) -> c100(A__U45(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(isNatIList(z0), x1)) -> c100(A__U45(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(cons(z0, z1), x1)) -> c100(A__U45(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U45(0, x1)) -> c100(A__U45(0, x1), MARK(0)) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1), MARK(tt)) MARK(U45(s(z0), x1)) -> c100(A__U45(s(mark(z0)), x1), MARK(s(z0))) MARK(U45(nil, x1)) -> c100(A__U45(nil, x1), MARK(nil)) ---------------------------------------- (228) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> 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MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1), MARK(zeros)) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(isNatIListKind(z0), x1)) -> c100(A__U45(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(isNatList(z0), x1)) -> c100(A__U45(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(isNatKind(z0), x1)) -> c100(A__U45(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(isNat(z0), x1)) -> c100(A__U45(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(isNatIList(z0), x1)) -> c100(A__U45(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(cons(z0, z1), x1)) -> c100(A__U45(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U45(0, x1)) -> c100(A__U45(0, x1), MARK(0)) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1), MARK(tt)) MARK(U45(s(z0), x1)) -> c100(A__U45(s(mark(z0)), x1), MARK(s(z0))) MARK(U45(nil, x1)) -> c100(A__U45(nil, x1), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> 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x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, 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MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1), MARK(zeros)) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(isNatIListKind(z0), x1)) -> c100(A__U45(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(isNatList(z0), x1)) -> c100(A__U45(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(isNatKind(z0), x1)) -> c100(A__U45(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(isNat(z0), x1)) -> c100(A__U45(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(isNatIList(z0), x1)) -> c100(A__U45(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(cons(z0, z1), x1)) -> c100(A__U45(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U45(0, x1)) -> c100(A__U45(0, x1), MARK(0)) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1), MARK(tt)) MARK(U45(s(z0), x1)) -> c100(A__U45(s(mark(z0)), x1), MARK(s(z0))) MARK(U45(nil, x1)) -> c100(A__U45(nil, x1), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2 ---------------------------------------- (229) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U45(0, x1)) -> c100(A__U45(0, x1), MARK(0)) MARK(U45(nil, x1)) -> c100(A__U45(nil, x1), MARK(nil)) ---------------------------------------- (230) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1), MARK(zeros)) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(isNatIListKind(z0), x1)) -> c100(A__U45(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(isNatList(z0), x1)) -> c100(A__U45(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(isNatKind(z0), x1)) -> c100(A__U45(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(isNat(z0), x1)) -> c100(A__U45(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(isNatIList(z0), x1)) -> c100(A__U45(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(cons(z0, z1), x1)) -> c100(A__U45(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1), MARK(tt)) MARK(U45(s(z0), x1)) -> c100(A__U45(s(mark(z0)), x1), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), 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MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) 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c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, 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MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) 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c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1), MARK(zeros)) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(isNatIListKind(z0), x1)) -> c100(A__U45(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(isNatList(z0), x1)) -> c100(A__U45(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(isNatKind(z0), x1)) -> c100(A__U45(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(isNat(z0), x1)) -> c100(A__U45(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(isNatIList(z0), x1)) -> c100(A__U45(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(cons(z0, z1), x1)) -> c100(A__U45(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1), MARK(tt)) MARK(U45(s(z0), x1)) -> c100(A__U45(s(mark(z0)), x1), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2 ---------------------------------------- (231) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (232) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), 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x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), 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MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, 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MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(isNatIListKind(z0), x1)) -> c100(A__U45(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(isNatList(z0), x1)) -> c100(A__U45(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(isNatKind(z0), x1)) -> c100(A__U45(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(isNat(z0), x1)) -> c100(A__U45(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(isNatIList(z0), x1)) -> c100(A__U45(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(isNatIListKind(z0), x1)) -> c100(A__U45(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(isNatList(z0), x1)) -> c100(A__U45(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(isNatKind(z0), x1)) -> c100(A__U45(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(isNat(z0), x1)) -> c100(A__U45(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(isNatIList(z0), x1)) -> c100(A__U45(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1 ---------------------------------------- (233) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (234) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c103_2, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1 ---------------------------------------- (235) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U51(z0, z1)) -> c103(A__U51(mark(z0), z1), MARK(z0)) by MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1), MARK(zeros)) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(isNatIListKind(z0), x1)) -> c103(A__U51(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(isNatList(z0), x1)) -> c103(A__U51(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(isNatKind(z0), x1)) -> c103(A__U51(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(isNat(z0), x1)) -> c103(A__U51(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(isNatIList(z0), x1)) -> c103(A__U51(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(cons(z0, z1), x1)) -> c103(A__U51(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U51(0, x1)) -> c103(A__U51(0, x1), MARK(0)) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1), MARK(tt)) MARK(U51(s(z0), x1)) -> c103(A__U51(s(mark(z0)), x1), MARK(s(z0))) MARK(U51(nil, x1)) -> c103(A__U51(nil, x1), MARK(nil)) ---------------------------------------- (236) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1), MARK(zeros)) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(isNatIListKind(z0), x1)) -> c103(A__U51(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(isNatList(z0), x1)) -> c103(A__U51(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(isNatKind(z0), x1)) -> c103(A__U51(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(isNat(z0), x1)) -> c103(A__U51(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(isNatIList(z0), x1)) -> c103(A__U51(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(cons(z0, z1), x1)) -> c103(A__U51(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U51(0, x1)) -> c103(A__U51(0, x1), MARK(0)) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1), MARK(tt)) MARK(U51(s(z0), x1)) -> c103(A__U51(s(mark(z0)), x1), MARK(s(z0))) MARK(U51(nil, x1)) -> c103(A__U51(nil, x1), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1), MARK(zeros)) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(isNatIListKind(z0), x1)) -> c103(A__U51(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(isNatList(z0), x1)) -> c103(A__U51(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(isNatKind(z0), x1)) -> c103(A__U51(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(isNat(z0), x1)) -> c103(A__U51(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(isNatIList(z0), x1)) -> c103(A__U51(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(cons(z0, z1), x1)) -> c103(A__U51(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U51(0, x1)) -> c103(A__U51(0, x1), MARK(0)) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1), MARK(tt)) MARK(U51(s(z0), x1)) -> c103(A__U51(s(mark(z0)), x1), MARK(s(z0))) MARK(U51(nil, x1)) -> c103(A__U51(nil, x1), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2 ---------------------------------------- (237) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U51(0, x1)) -> c103(A__U51(0, x1), MARK(0)) MARK(U51(nil, x1)) -> c103(A__U51(nil, x1), MARK(nil)) ---------------------------------------- (238) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) 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c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1), MARK(zeros)) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(isNatIListKind(z0), x1)) -> c103(A__U51(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(isNatList(z0), x1)) -> c103(A__U51(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(isNatKind(z0), x1)) -> c103(A__U51(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(isNat(z0), x1)) -> c103(A__U51(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(isNatIList(z0), x1)) -> c103(A__U51(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(cons(z0, z1), x1)) -> c103(A__U51(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1), MARK(tt)) MARK(U51(s(z0), x1)) -> c103(A__U51(s(mark(z0)), x1), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> 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c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, 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MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> 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z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1), MARK(zeros)) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(isNatIListKind(z0), x1)) -> c103(A__U51(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(isNatList(z0), x1)) -> c103(A__U51(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(isNatKind(z0), x1)) -> c103(A__U51(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(isNat(z0), x1)) -> c103(A__U51(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(isNatIList(z0), x1)) -> c103(A__U51(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(cons(z0, z1), x1)) -> c103(A__U51(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1), MARK(tt)) MARK(U51(s(z0), x1)) -> c103(A__U51(s(mark(z0)), x1), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2 ---------------------------------------- (239) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (240) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> 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z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(isNatIListKind(z0), x1)) -> c103(A__U51(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(isNatList(z0), x1)) -> c103(A__U51(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(isNatKind(z0), x1)) -> c103(A__U51(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(isNat(z0), x1)) -> c103(A__U51(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(isNatIList(z0), x1)) -> c103(A__U51(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(isNatIListKind(z0), x1)) -> c103(A__U51(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(isNatList(z0), x1)) -> c103(A__U51(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(isNatKind(z0), x1)) -> c103(A__U51(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(isNat(z0), x1)) -> c103(A__U51(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(isNatIList(z0), x1)) -> c103(A__U51(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1 ---------------------------------------- (241) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (242) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c107_2, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1 ---------------------------------------- (243) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U81(z0, z1, z2)) -> c107(A__U81(mark(z0), z1, z2), MARK(z0)) by MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2), MARK(zeros)) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c107(A__U81(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c107(A__U81(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(isNatKind(z0), x1, x2)) -> c107(A__U81(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(isNat(z0), x1, x2)) -> c107(A__U81(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c107(A__U81(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(cons(z0, z1), x1, x2)) -> c107(A__U81(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U81(0, x1, x2)) -> c107(A__U81(0, x1, x2), MARK(0)) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2), MARK(tt)) MARK(U81(s(z0), x1, x2)) -> c107(A__U81(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U81(nil, x1, x2)) -> c107(A__U81(nil, x1, x2), MARK(nil)) ---------------------------------------- (244) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), 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MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> 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MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) 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c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), 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x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2), MARK(zeros)) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c107(A__U81(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c107(A__U81(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(isNatKind(z0), x1, x2)) -> c107(A__U81(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(isNat(z0), x1, x2)) -> c107(A__U81(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c107(A__U81(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(cons(z0, z1), x1, x2)) -> c107(A__U81(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U81(0, x1, x2)) -> c107(A__U81(0, x1, x2), MARK(0)) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2), MARK(tt)) MARK(U81(s(z0), x1, x2)) -> c107(A__U81(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U81(nil, x1, x2)) -> c107(A__U81(nil, x1, x2), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), 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MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> 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c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2), MARK(zeros)) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c107(A__U81(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c107(A__U81(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(isNatKind(z0), x1, x2)) -> c107(A__U81(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(isNat(z0), x1, x2)) -> c107(A__U81(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c107(A__U81(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(cons(z0, z1), x1, x2)) -> c107(A__U81(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U81(0, x1, x2)) -> c107(A__U81(0, x1, x2), MARK(0)) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2), MARK(tt)) MARK(U81(s(z0), x1, x2)) -> c107(A__U81(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U81(nil, x1, x2)) -> c107(A__U81(nil, x1, x2), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2 ---------------------------------------- (245) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U81(0, x1, x2)) -> c107(A__U81(0, x1, x2), MARK(0)) MARK(U81(nil, x1, x2)) -> c107(A__U81(nil, x1, x2), MARK(nil)) ---------------------------------------- (246) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) 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MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, 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z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2), MARK(zeros)) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c107(A__U81(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c107(A__U81(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(isNatKind(z0), x1, x2)) -> c107(A__U81(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(isNat(z0), x1, x2)) -> c107(A__U81(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c107(A__U81(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(cons(z0, z1), x1, x2)) -> c107(A__U81(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2), MARK(tt)) MARK(U81(s(z0), x1, x2)) -> c107(A__U81(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, 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MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2), MARK(zeros)) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c107(A__U81(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c107(A__U81(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(isNatKind(z0), x1, x2)) -> c107(A__U81(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(isNat(z0), x1, x2)) -> c107(A__U81(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c107(A__U81(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(cons(z0, z1), x1, x2)) -> c107(A__U81(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2), MARK(tt)) MARK(U81(s(z0), x1, x2)) -> c107(A__U81(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2 ---------------------------------------- (247) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (248) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), 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MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c107(A__U81(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c107(A__U81(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(isNatKind(z0), x1, x2)) -> c107(A__U81(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(isNat(z0), x1, x2)) -> c107(A__U81(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c107(A__U81(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), 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c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), 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MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c107(A__U81(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c107(A__U81(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(isNatKind(z0), x1, x2)) -> c107(A__U81(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(isNat(z0), x1, x2)) -> c107(A__U81(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c107(A__U81(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1 ---------------------------------------- (249) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (250) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) 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MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c108_2, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1 ---------------------------------------- (251) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U82(z0, z1, z2)) -> c108(A__U82(mark(z0), z1, z2), MARK(z0)) by MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2), MARK(zeros)) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c108(A__U82(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c108(A__U82(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(isNatKind(z0), x1, x2)) -> c108(A__U82(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(isNat(z0), x1, x2)) -> c108(A__U82(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c108(A__U82(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(cons(z0, z1), x1, x2)) -> c108(A__U82(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U82(0, x1, x2)) -> c108(A__U82(0, x1, x2), MARK(0)) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2), MARK(tt)) MARK(U82(s(z0), x1, x2)) -> c108(A__U82(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U82(nil, x1, x2)) -> c108(A__U82(nil, x1, x2), MARK(nil)) ---------------------------------------- (252) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2), MARK(zeros)) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c108(A__U82(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c108(A__U82(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(isNatKind(z0), x1, x2)) -> c108(A__U82(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(isNat(z0), x1, x2)) -> c108(A__U82(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c108(A__U82(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(cons(z0, z1), x1, x2)) -> c108(A__U82(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U82(0, x1, x2)) -> c108(A__U82(0, x1, x2), MARK(0)) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2), MARK(tt)) MARK(U82(s(z0), x1, x2)) -> c108(A__U82(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U82(nil, x1, x2)) -> c108(A__U82(nil, x1, x2), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), 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c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) 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c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), 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c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), 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x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2), MARK(zeros)) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c108(A__U82(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c108(A__U82(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(isNatKind(z0), x1, x2)) -> c108(A__U82(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(isNat(z0), x1, x2)) -> c108(A__U82(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c108(A__U82(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(cons(z0, z1), x1, x2)) -> c108(A__U82(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U82(0, x1, x2)) -> c108(A__U82(0, x1, x2), MARK(0)) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2), MARK(tt)) MARK(U82(s(z0), x1, x2)) -> c108(A__U82(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U82(nil, x1, x2)) -> c108(A__U82(nil, x1, x2), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2 ---------------------------------------- (253) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U82(0, x1, x2)) -> c108(A__U82(0, x1, x2), MARK(0)) MARK(U82(nil, x1, x2)) -> c108(A__U82(nil, x1, x2), MARK(nil)) ---------------------------------------- (254) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2), MARK(zeros)) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c108(A__U82(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c108(A__U82(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(isNatKind(z0), x1, x2)) -> c108(A__U82(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(isNat(z0), x1, x2)) -> c108(A__U82(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c108(A__U82(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(cons(z0, z1), x1, x2)) -> c108(A__U82(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2), MARK(tt)) MARK(U82(s(z0), x1, x2)) -> c108(A__U82(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2), MARK(zeros)) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c108(A__U82(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c108(A__U82(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(isNatKind(z0), x1, x2)) -> c108(A__U82(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(isNat(z0), x1, x2)) -> c108(A__U82(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c108(A__U82(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(cons(z0, z1), x1, x2)) -> c108(A__U82(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2), MARK(tt)) MARK(U82(s(z0), x1, x2)) -> c108(A__U82(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2 ---------------------------------------- (255) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (256) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c108(A__U82(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c108(A__U82(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(isNatKind(z0), x1, x2)) -> c108(A__U82(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(isNat(z0), x1, x2)) -> c108(A__U82(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c108(A__U82(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> 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MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c108(A__U82(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c108(A__U82(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(isNatKind(z0), x1, x2)) -> c108(A__U82(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(isNat(z0), x1, x2)) -> c108(A__U82(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c108(A__U82(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1 ---------------------------------------- (257) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (258) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, 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MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), 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MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c109_2, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1 ---------------------------------------- (259) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U83(z0, z1, z2)) -> c109(A__U83(mark(z0), z1, z2), MARK(z0)) by MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2), MARK(zeros)) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c109(A__U83(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c109(A__U83(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(isNatKind(z0), x1, x2)) -> c109(A__U83(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(isNat(z0), x1, x2)) -> c109(A__U83(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c109(A__U83(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(cons(z0, z1), x1, x2)) -> c109(A__U83(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U83(0, x1, x2)) -> c109(A__U83(0, x1, x2), MARK(0)) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2), MARK(tt)) MARK(U83(s(z0), x1, x2)) -> c109(A__U83(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U83(nil, x1, x2)) -> c109(A__U83(nil, x1, x2), MARK(nil)) ---------------------------------------- (260) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2), MARK(zeros)) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c109(A__U83(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c109(A__U83(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(isNatKind(z0), x1, x2)) -> c109(A__U83(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(isNat(z0), x1, x2)) -> c109(A__U83(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c109(A__U83(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(cons(z0, z1), x1, x2)) -> c109(A__U83(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U83(0, x1, x2)) -> c109(A__U83(0, x1, x2), MARK(0)) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2), MARK(tt)) MARK(U83(s(z0), x1, x2)) -> c109(A__U83(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U83(nil, x1, x2)) -> c109(A__U83(nil, x1, x2), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2), MARK(zeros)) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c109(A__U83(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c109(A__U83(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(isNatKind(z0), x1, x2)) -> c109(A__U83(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(isNat(z0), x1, x2)) -> c109(A__U83(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c109(A__U83(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(cons(z0, z1), x1, x2)) -> c109(A__U83(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U83(0, x1, x2)) -> c109(A__U83(0, x1, x2), MARK(0)) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2), MARK(tt)) MARK(U83(s(z0), x1, x2)) -> c109(A__U83(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U83(nil, x1, x2)) -> c109(A__U83(nil, x1, x2), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2 ---------------------------------------- (261) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U83(0, x1, x2)) -> c109(A__U83(0, x1, x2), MARK(0)) MARK(U83(nil, x1, x2)) -> c109(A__U83(nil, x1, x2), MARK(nil)) ---------------------------------------- (262) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> 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MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2), MARK(zeros)) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c109(A__U83(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c109(A__U83(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(isNatKind(z0), x1, x2)) -> c109(A__U83(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(isNat(z0), x1, x2)) -> c109(A__U83(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c109(A__U83(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(cons(z0, z1), x1, x2)) -> c109(A__U83(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2), MARK(tt)) MARK(U83(s(z0), x1, x2)) -> c109(A__U83(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), 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x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), 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MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, 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MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2), MARK(zeros)) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c109(A__U83(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c109(A__U83(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(isNatKind(z0), x1, x2)) -> c109(A__U83(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(isNat(z0), x1, x2)) -> c109(A__U83(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c109(A__U83(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(cons(z0, z1), x1, x2)) -> c109(A__U83(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2), MARK(tt)) MARK(U83(s(z0), x1, x2)) -> c109(A__U83(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2 ---------------------------------------- (263) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (264) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, 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MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) 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MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c109(A__U83(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c109(A__U83(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(isNatKind(z0), x1, x2)) -> c109(A__U83(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(isNat(z0), x1, x2)) -> c109(A__U83(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c109(A__U83(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), 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c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), 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MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c109(A__U83(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c109(A__U83(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(isNatKind(z0), x1, x2)) -> c109(A__U83(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(isNat(z0), x1, x2)) -> c109(A__U83(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c109(A__U83(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2, c109_1 ---------------------------------------- (265) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (266) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, 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MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> 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c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c110_2, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2, c109_1, c21_1 ---------------------------------------- (267) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U84(z0, z1, z2)) -> c110(A__U84(mark(z0), z1, z2), MARK(z0)) by MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2), MARK(zeros)) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c110(A__U84(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c110(A__U84(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(isNatKind(z0), x1, x2)) -> c110(A__U84(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(isNat(z0), x1, x2)) -> c110(A__U84(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c110(A__U84(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(cons(z0, z1), x1, x2)) -> c110(A__U84(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U84(0, x1, x2)) -> c110(A__U84(0, x1, x2), MARK(0)) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2), MARK(tt)) MARK(U84(s(z0), x1, x2)) -> c110(A__U84(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U84(nil, x1, x2)) -> c110(A__U84(nil, x1, x2), MARK(nil)) ---------------------------------------- (268) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2), MARK(zeros)) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c110(A__U84(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c110(A__U84(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(isNatKind(z0), x1, x2)) -> c110(A__U84(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(isNat(z0), x1, x2)) -> c110(A__U84(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c110(A__U84(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(cons(z0, z1), x1, x2)) -> c110(A__U84(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U84(0, x1, x2)) -> c110(A__U84(0, x1, x2), MARK(0)) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2), MARK(tt)) MARK(U84(s(z0), x1, x2)) -> c110(A__U84(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U84(nil, x1, x2)) -> c110(A__U84(nil, x1, x2), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> 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z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2), MARK(zeros)) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c110(A__U84(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c110(A__U84(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(isNatKind(z0), x1, x2)) -> c110(A__U84(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(isNat(z0), x1, x2)) -> c110(A__U84(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c110(A__U84(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(cons(z0, z1), x1, x2)) -> c110(A__U84(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U84(0, x1, x2)) -> c110(A__U84(0, x1, x2), MARK(0)) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2), MARK(tt)) MARK(U84(s(z0), x1, x2)) -> c110(A__U84(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U84(nil, x1, x2)) -> c110(A__U84(nil, x1, x2), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2, c109_1, c21_1, c110_2 ---------------------------------------- (269) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U84(0, x1, x2)) -> c110(A__U84(0, x1, x2), MARK(0)) MARK(U84(nil, x1, x2)) -> c110(A__U84(nil, x1, x2), MARK(nil)) ---------------------------------------- (270) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> 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x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), 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MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2), MARK(zeros)) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c110(A__U84(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c110(A__U84(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(isNatKind(z0), x1, x2)) -> c110(A__U84(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(isNat(z0), x1, x2)) -> c110(A__U84(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c110(A__U84(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(cons(z0, z1), x1, x2)) -> c110(A__U84(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2), MARK(tt)) MARK(U84(s(z0), x1, x2)) -> c110(A__U84(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2), MARK(zeros)) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c110(A__U84(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c110(A__U84(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(isNatKind(z0), x1, x2)) -> c110(A__U84(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(isNat(z0), x1, x2)) -> c110(A__U84(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c110(A__U84(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(cons(z0, z1), x1, x2)) -> c110(A__U84(cons(mark(z0), z1), x1, x2), MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2), MARK(tt)) MARK(U84(s(z0), x1, x2)) -> c110(A__U84(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2, c109_1, c21_1, c110_2 ---------------------------------------- (271) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (272) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c110(A__U84(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c110(A__U84(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(isNatKind(z0), x1, x2)) -> c110(A__U84(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(isNat(z0), x1, x2)) -> c110(A__U84(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c110(A__U84(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) 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c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c110(A__U84(a__isNatIListKind(z0), x1, x2), MARK(isNatIListKind(z0))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c110(A__U84(a__isNatList(z0), x1, x2), MARK(isNatList(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(isNatKind(z0), x1, x2)) -> c110(A__U84(a__isNatKind(z0), x1, x2), MARK(isNatKind(z0))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(isNat(z0), x1, x2)) -> c110(A__U84(a__isNat(z0), x1, x2), MARK(isNat(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c110(A__U84(a__isNatIList(z0), x1, x2), MARK(isNatIList(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2, c109_1, c21_1, c110_2, c110_1 ---------------------------------------- (273) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (274) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> 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z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> 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z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(A__U84(a__isNatIListKind(z0), x1, x2)) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(MARK(isNatIListKind(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c23(A__U84(a__isNatList(z0), x1, x2)) MARK(U84(isNatList(z0), x1, x2)) -> c23(MARK(isNatList(z0))) MARK(U84(isNatKind(z0), x1, x2)) -> c23(A__U84(a__isNatKind(z0), x1, x2)) MARK(U84(isNatKind(z0), x1, x2)) -> c23(MARK(isNatKind(z0))) MARK(U84(isNat(z0), x1, x2)) -> c23(A__U84(a__isNat(z0), x1, x2)) MARK(U84(isNat(z0), x1, x2)) -> c23(MARK(isNat(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c23(A__U84(a__isNatIList(z0), x1, x2)) MARK(U84(isNatIList(z0), x1, x2)) -> c23(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> 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c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), 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x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, 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MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(A__U84(a__isNatIListKind(z0), x1, x2)) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(MARK(isNatIListKind(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c23(A__U84(a__isNatList(z0), x1, x2)) MARK(U84(isNatList(z0), x1, x2)) -> c23(MARK(isNatList(z0))) MARK(U84(isNatKind(z0), x1, x2)) -> c23(A__U84(a__isNatKind(z0), x1, x2)) MARK(U84(isNatKind(z0), x1, x2)) -> c23(MARK(isNatKind(z0))) MARK(U84(isNat(z0), x1, x2)) -> c23(A__U84(a__isNat(z0), x1, x2)) MARK(U84(isNat(z0), x1, x2)) -> c23(MARK(isNat(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c23(A__U84(a__isNatIList(z0), x1, x2)) MARK(U84(isNatIList(z0), x1, x2)) -> c23(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c111_2, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2, c109_1, c21_1, c110_2, c110_1, c23_1 ---------------------------------------- (275) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U85(z0, z1)) -> c111(A__U85(mark(z0), z1), MARK(z0)) by MARK(U85(zeros, x1)) -> c111(A__U85(a__zeros, x1), MARK(zeros)) MARK(U85(U11(z0, z1), x1)) -> c111(A__U85(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U85(U12(z0, z1), x1)) -> c111(A__U85(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U85(isNatIListKind(z0), x1)) -> c111(A__U85(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U85(U13(z0), x1)) -> c111(A__U85(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U85(isNatList(z0), x1)) -> c111(A__U85(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U85(U21(z0, z1), x1)) -> c111(A__U85(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U85(U22(z0, z1), x1)) -> c111(A__U85(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U85(isNatKind(z0), x1)) -> c111(A__U85(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U85(U23(z0), x1)) -> c111(A__U85(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U85(isNat(z0), x1)) -> c111(A__U85(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U85(U31(z0, z1), x1)) -> c111(A__U85(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U85(U32(z0, z1), x1)) -> c111(A__U85(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U85(U33(z0), x1)) -> c111(A__U85(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U85(U41(z0, z1, z2), x1)) -> c111(A__U85(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U85(U42(z0, z1, z2), x1)) -> c111(A__U85(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U85(U43(z0, z1, z2), x1)) -> c111(A__U85(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U85(U44(z0, z1, z2), x1)) -> c111(A__U85(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U85(U45(z0, z1), x1)) -> c111(A__U85(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U85(U46(z0), x1)) -> c111(A__U85(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U85(isNatIList(z0), x1)) -> c111(A__U85(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U85(U51(z0, z1), x1)) -> c111(A__U85(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U85(U52(z0), x1)) -> c111(A__U85(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U85(U61(z0), x1)) -> c111(A__U85(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U85(U71(z0), x1)) -> c111(A__U85(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U85(U81(z0, z1, z2), x1)) -> c111(A__U85(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U85(U82(z0, z1, z2), x1)) -> c111(A__U85(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U85(U83(z0, z1, z2), x1)) -> c111(A__U85(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U85(U84(z0, z1, z2), x1)) -> c111(A__U85(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U85(U85(z0, z1), x1)) -> c111(A__U85(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U85(U86(z0), x1)) -> c111(A__U85(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U85(U91(z0, z1, z2), x1)) -> c111(A__U85(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U85(U92(z0, z1, z2), x1)) -> c111(A__U85(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U85(U93(z0, z1, z2), x1)) -> c111(A__U85(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U85(U94(z0, z1), x1)) -> c111(A__U85(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U85(length(z0), x1)) -> c111(A__U85(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U85(cons(z0, z1), x1)) -> c111(A__U85(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U85(0, x1)) -> c111(A__U85(0, x1), MARK(0)) MARK(U85(tt, x1)) -> c111(A__U85(tt, x1), MARK(tt)) MARK(U85(s(z0), x1)) -> c111(A__U85(s(mark(z0)), x1), MARK(s(z0))) MARK(U85(nil, x1)) -> c111(A__U85(nil, x1), MARK(nil)) ---------------------------------------- (276) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), 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c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), 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x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), 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MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(A__U84(a__isNatIListKind(z0), x1, x2)) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(MARK(isNatIListKind(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c23(A__U84(a__isNatList(z0), x1, x2)) MARK(U84(isNatList(z0), x1, x2)) -> c23(MARK(isNatList(z0))) MARK(U84(isNatKind(z0), x1, x2)) -> c23(A__U84(a__isNatKind(z0), x1, x2)) MARK(U84(isNatKind(z0), x1, x2)) -> c23(MARK(isNatKind(z0))) MARK(U84(isNat(z0), x1, x2)) -> c23(A__U84(a__isNat(z0), x1, x2)) MARK(U84(isNat(z0), x1, x2)) -> c23(MARK(isNat(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c23(A__U84(a__isNatIList(z0), x1, x2)) MARK(U84(isNatIList(z0), x1, x2)) -> c23(MARK(isNatIList(z0))) MARK(U85(zeros, x1)) -> c111(A__U85(a__zeros, x1), MARK(zeros)) MARK(U85(U11(z0, z1), x1)) -> c111(A__U85(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U85(U12(z0, z1), x1)) -> c111(A__U85(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U85(isNatIListKind(z0), x1)) -> c111(A__U85(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U85(U13(z0), x1)) -> c111(A__U85(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U85(isNatList(z0), x1)) -> c111(A__U85(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U85(U21(z0, z1), x1)) -> c111(A__U85(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U85(U22(z0, z1), x1)) -> c111(A__U85(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U85(isNatKind(z0), x1)) -> c111(A__U85(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U85(U23(z0), x1)) -> c111(A__U85(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U85(isNat(z0), x1)) -> c111(A__U85(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U85(U31(z0, z1), x1)) -> c111(A__U85(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U85(U32(z0, z1), x1)) -> c111(A__U85(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U85(U33(z0), x1)) -> c111(A__U85(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U85(U41(z0, z1, z2), x1)) -> c111(A__U85(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U85(U42(z0, z1, z2), x1)) -> c111(A__U85(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U85(U43(z0, z1, z2), x1)) -> c111(A__U85(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U85(U44(z0, z1, z2), x1)) -> c111(A__U85(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U85(U45(z0, z1), x1)) -> c111(A__U85(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U85(U46(z0), x1)) -> c111(A__U85(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U85(isNatIList(z0), x1)) -> c111(A__U85(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U85(U51(z0, z1), x1)) -> c111(A__U85(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U85(U52(z0), x1)) -> c111(A__U85(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U85(U61(z0), x1)) -> c111(A__U85(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U85(U71(z0), x1)) -> c111(A__U85(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U85(U81(z0, z1, z2), x1)) -> c111(A__U85(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U85(U82(z0, z1, z2), x1)) -> c111(A__U85(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U85(U83(z0, z1, z2), x1)) -> c111(A__U85(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U85(U84(z0, z1, z2), x1)) -> c111(A__U85(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U85(U85(z0, z1), x1)) -> c111(A__U85(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U85(U86(z0), x1)) -> c111(A__U85(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U85(U91(z0, z1, z2), x1)) -> c111(A__U85(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U85(U92(z0, z1, z2), x1)) -> c111(A__U85(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U85(U93(z0, z1, z2), x1)) -> c111(A__U85(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U85(U94(z0, z1), x1)) -> c111(A__U85(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U85(length(z0), x1)) -> c111(A__U85(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U85(cons(z0, z1), x1)) -> c111(A__U85(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U85(0, x1)) -> c111(A__U85(0, x1), MARK(0)) MARK(U85(tt, x1)) -> c111(A__U85(tt, x1), MARK(tt)) MARK(U85(s(z0), x1)) -> c111(A__U85(s(mark(z0)), x1), MARK(s(z0))) MARK(U85(nil, x1)) -> c111(A__U85(nil, x1), MARK(nil)) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(A__U84(a__isNatIListKind(z0), x1, x2)) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(MARK(isNatIListKind(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c23(A__U84(a__isNatList(z0), x1, x2)) MARK(U84(isNatList(z0), x1, x2)) -> c23(MARK(isNatList(z0))) MARK(U84(isNatKind(z0), x1, x2)) -> c23(A__U84(a__isNatKind(z0), x1, x2)) MARK(U84(isNatKind(z0), x1, x2)) -> c23(MARK(isNatKind(z0))) MARK(U84(isNat(z0), x1, x2)) -> c23(A__U84(a__isNat(z0), x1, x2)) MARK(U84(isNat(z0), x1, x2)) -> c23(MARK(isNat(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c23(A__U84(a__isNatIList(z0), x1, x2)) MARK(U84(isNatIList(z0), x1, x2)) -> c23(MARK(isNatIList(z0))) MARK(U85(zeros, x1)) -> c111(A__U85(a__zeros, x1), MARK(zeros)) MARK(U85(U11(z0, z1), x1)) -> c111(A__U85(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U85(U12(z0, z1), x1)) -> c111(A__U85(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U85(isNatIListKind(z0), x1)) -> c111(A__U85(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U85(U13(z0), x1)) -> c111(A__U85(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U85(isNatList(z0), x1)) -> c111(A__U85(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U85(U21(z0, z1), x1)) -> c111(A__U85(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U85(U22(z0, z1), x1)) -> c111(A__U85(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U85(isNatKind(z0), x1)) -> c111(A__U85(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U85(U23(z0), x1)) -> c111(A__U85(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U85(isNat(z0), x1)) -> c111(A__U85(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U85(U31(z0, z1), x1)) -> c111(A__U85(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U85(U32(z0, z1), x1)) -> c111(A__U85(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U85(U33(z0), x1)) -> c111(A__U85(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U85(U41(z0, z1, z2), x1)) -> c111(A__U85(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U85(U42(z0, z1, z2), x1)) -> c111(A__U85(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U85(U43(z0, z1, z2), x1)) -> c111(A__U85(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U85(U44(z0, z1, z2), x1)) -> c111(A__U85(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U85(U45(z0, z1), x1)) -> c111(A__U85(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U85(U46(z0), x1)) -> c111(A__U85(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U85(isNatIList(z0), x1)) -> c111(A__U85(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U85(U51(z0, z1), x1)) -> c111(A__U85(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U85(U52(z0), x1)) -> c111(A__U85(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U85(U61(z0), x1)) -> c111(A__U85(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U85(U71(z0), x1)) -> c111(A__U85(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U85(U81(z0, z1, z2), x1)) -> c111(A__U85(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U85(U82(z0, z1, z2), x1)) -> c111(A__U85(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U85(U83(z0, z1, z2), x1)) -> c111(A__U85(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U85(U84(z0, z1, z2), x1)) -> c111(A__U85(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U85(U85(z0, z1), x1)) -> c111(A__U85(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U85(U86(z0), x1)) -> c111(A__U85(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U85(U91(z0, z1, z2), x1)) -> c111(A__U85(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U85(U92(z0, z1, z2), x1)) -> c111(A__U85(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U85(U93(z0, z1, z2), x1)) -> c111(A__U85(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U85(U94(z0, z1), x1)) -> c111(A__U85(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U85(length(z0), x1)) -> c111(A__U85(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U85(cons(z0, z1), x1)) -> c111(A__U85(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U85(0, x1)) -> c111(A__U85(0, x1), MARK(0)) MARK(U85(tt, x1)) -> c111(A__U85(tt, x1), MARK(tt)) MARK(U85(s(z0), x1)) -> c111(A__U85(s(mark(z0)), x1), MARK(s(z0))) MARK(U85(nil, x1)) -> c111(A__U85(nil, x1), MARK(nil)) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2, c109_1, c21_1, c110_2, c110_1, c23_1, c111_2 ---------------------------------------- (277) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(U85(nil, x1)) -> c111(A__U85(nil, x1), MARK(nil)) MARK(U85(0, x1)) -> c111(A__U85(0, x1), MARK(0)) ---------------------------------------- (278) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(A__U84(a__isNatIListKind(z0), x1, x2)) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(MARK(isNatIListKind(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c23(A__U84(a__isNatList(z0), x1, x2)) MARK(U84(isNatList(z0), x1, x2)) -> c23(MARK(isNatList(z0))) MARK(U84(isNatKind(z0), x1, x2)) -> c23(A__U84(a__isNatKind(z0), x1, x2)) MARK(U84(isNatKind(z0), x1, x2)) -> c23(MARK(isNatKind(z0))) MARK(U84(isNat(z0), x1, x2)) -> c23(A__U84(a__isNat(z0), x1, x2)) MARK(U84(isNat(z0), x1, x2)) -> c23(MARK(isNat(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c23(A__U84(a__isNatIList(z0), x1, x2)) MARK(U84(isNatIList(z0), x1, x2)) -> c23(MARK(isNatIList(z0))) MARK(U85(zeros, x1)) -> c111(A__U85(a__zeros, x1), MARK(zeros)) MARK(U85(U11(z0, z1), x1)) -> c111(A__U85(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U85(U12(z0, z1), x1)) -> c111(A__U85(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U85(isNatIListKind(z0), x1)) -> c111(A__U85(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U85(U13(z0), x1)) -> c111(A__U85(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U85(isNatList(z0), x1)) -> c111(A__U85(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U85(U21(z0, z1), x1)) -> c111(A__U85(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U85(U22(z0, z1), x1)) -> c111(A__U85(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U85(isNatKind(z0), x1)) -> c111(A__U85(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U85(U23(z0), x1)) -> c111(A__U85(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U85(isNat(z0), x1)) -> c111(A__U85(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U85(U31(z0, z1), x1)) -> c111(A__U85(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U85(U32(z0, z1), x1)) -> c111(A__U85(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U85(U33(z0), x1)) -> c111(A__U85(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U85(U41(z0, z1, z2), x1)) -> c111(A__U85(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U85(U42(z0, z1, z2), x1)) -> c111(A__U85(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U85(U43(z0, z1, z2), x1)) -> c111(A__U85(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U85(U44(z0, z1, z2), x1)) -> c111(A__U85(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U85(U45(z0, z1), x1)) -> c111(A__U85(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U85(U46(z0), x1)) -> c111(A__U85(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U85(isNatIList(z0), x1)) -> c111(A__U85(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U85(U51(z0, z1), x1)) -> c111(A__U85(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U85(U52(z0), x1)) -> c111(A__U85(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U85(U61(z0), x1)) -> c111(A__U85(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U85(U71(z0), x1)) -> c111(A__U85(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U85(U81(z0, z1, z2), x1)) -> c111(A__U85(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U85(U82(z0, z1, z2), x1)) -> c111(A__U85(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U85(U83(z0, z1, z2), x1)) -> c111(A__U85(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U85(U84(z0, z1, z2), x1)) -> c111(A__U85(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U85(U85(z0, z1), x1)) -> c111(A__U85(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U85(U86(z0), x1)) -> c111(A__U85(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U85(U91(z0, z1, z2), x1)) -> c111(A__U85(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U85(U92(z0, z1, z2), x1)) -> c111(A__U85(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U85(U93(z0, z1, z2), x1)) -> c111(A__U85(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U85(U94(z0, z1), x1)) -> c111(A__U85(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U85(length(z0), x1)) -> c111(A__U85(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U85(cons(z0, z1), x1)) -> c111(A__U85(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U85(tt, x1)) -> c111(A__U85(tt, x1), MARK(tt)) MARK(U85(s(z0), x1)) -> c111(A__U85(s(mark(z0)), x1), MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), 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MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(A__U84(a__isNatIListKind(z0), x1, x2)) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(MARK(isNatIListKind(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c23(A__U84(a__isNatList(z0), x1, x2)) MARK(U84(isNatList(z0), x1, x2)) -> c23(MARK(isNatList(z0))) MARK(U84(isNatKind(z0), x1, x2)) -> c23(A__U84(a__isNatKind(z0), x1, x2)) MARK(U84(isNatKind(z0), x1, x2)) -> c23(MARK(isNatKind(z0))) MARK(U84(isNat(z0), x1, x2)) -> c23(A__U84(a__isNat(z0), x1, x2)) MARK(U84(isNat(z0), x1, x2)) -> c23(MARK(isNat(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c23(A__U84(a__isNatIList(z0), x1, x2)) MARK(U84(isNatIList(z0), x1, x2)) -> c23(MARK(isNatIList(z0))) MARK(U85(zeros, x1)) -> c111(A__U85(a__zeros, x1), MARK(zeros)) MARK(U85(U11(z0, z1), x1)) -> c111(A__U85(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U85(U12(z0, z1), x1)) -> c111(A__U85(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U85(isNatIListKind(z0), x1)) -> c111(A__U85(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U85(U13(z0), x1)) -> c111(A__U85(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U85(isNatList(z0), x1)) -> c111(A__U85(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U85(U21(z0, z1), x1)) -> c111(A__U85(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U85(U22(z0, z1), x1)) -> c111(A__U85(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U85(isNatKind(z0), x1)) -> c111(A__U85(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U85(U23(z0), x1)) -> c111(A__U85(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U85(isNat(z0), x1)) -> c111(A__U85(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U85(U31(z0, z1), x1)) -> c111(A__U85(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U85(U32(z0, z1), x1)) -> c111(A__U85(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U85(U33(z0), x1)) -> c111(A__U85(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U85(U41(z0, z1, z2), x1)) -> c111(A__U85(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U85(U42(z0, z1, z2), x1)) -> c111(A__U85(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U85(U43(z0, z1, z2), x1)) -> c111(A__U85(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U85(U44(z0, z1, z2), x1)) -> c111(A__U85(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U85(U45(z0, z1), x1)) -> c111(A__U85(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U85(U46(z0), x1)) -> c111(A__U85(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U85(isNatIList(z0), x1)) -> c111(A__U85(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U85(U51(z0, z1), x1)) -> c111(A__U85(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U85(U52(z0), x1)) -> c111(A__U85(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U85(U61(z0), x1)) -> c111(A__U85(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U85(U71(z0), x1)) -> c111(A__U85(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U85(U81(z0, z1, z2), x1)) -> c111(A__U85(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U85(U82(z0, z1, z2), x1)) -> c111(A__U85(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U85(U83(z0, z1, z2), x1)) -> c111(A__U85(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U85(U84(z0, z1, z2), x1)) -> c111(A__U85(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U85(U85(z0, z1), x1)) -> c111(A__U85(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U85(U86(z0), x1)) -> c111(A__U85(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U85(U91(z0, z1, z2), x1)) -> c111(A__U85(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U85(U92(z0, z1, z2), x1)) -> c111(A__U85(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U85(U93(z0, z1, z2), x1)) -> c111(A__U85(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U85(U94(z0, z1), x1)) -> c111(A__U85(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U85(length(z0), x1)) -> c111(A__U85(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U85(cons(z0, z1), x1)) -> c111(A__U85(cons(mark(z0), z1), x1), MARK(cons(z0, z1))) MARK(U85(tt, x1)) -> c111(A__U85(tt, x1), MARK(tt)) MARK(U85(s(z0), x1)) -> c111(A__U85(s(mark(z0)), x1), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2, c109_1, c21_1, c110_2, c110_1, c23_1, c111_2 ---------------------------------------- (279) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (280) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), 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MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> 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MARK(U12(z0, z1))) MARK(U85(isNatIListKind(z0), x1)) -> c111(A__U85(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U85(U13(z0), x1)) -> c111(A__U85(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U85(isNatList(z0), x1)) -> c111(A__U85(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U85(U21(z0, z1), x1)) -> c111(A__U85(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U85(U22(z0, z1), x1)) -> c111(A__U85(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U85(isNatKind(z0), x1)) -> c111(A__U85(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U85(U23(z0), x1)) -> c111(A__U85(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U85(isNat(z0), x1)) -> c111(A__U85(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U85(U31(z0, z1), x1)) -> c111(A__U85(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U85(U32(z0, z1), x1)) -> c111(A__U85(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U85(U33(z0), x1)) -> c111(A__U85(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U85(U41(z0, z1, z2), x1)) -> c111(A__U85(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U85(U42(z0, z1, z2), x1)) -> c111(A__U85(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U85(U43(z0, z1, z2), x1)) -> c111(A__U85(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U85(U44(z0, z1, z2), x1)) -> c111(A__U85(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U85(U45(z0, z1), x1)) -> c111(A__U85(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U85(U46(z0), x1)) -> c111(A__U85(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U85(isNatIList(z0), x1)) -> c111(A__U85(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U85(U51(z0, z1), x1)) -> c111(A__U85(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U85(U52(z0), x1)) -> c111(A__U85(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U85(U61(z0), x1)) -> c111(A__U85(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U85(U71(z0), x1)) -> c111(A__U85(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U85(U81(z0, z1, z2), x1)) -> c111(A__U85(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U85(U82(z0, z1, z2), x1)) -> c111(A__U85(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U85(U83(z0, z1, z2), x1)) -> c111(A__U85(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U85(U84(z0, z1, z2), x1)) -> c111(A__U85(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U85(U85(z0, z1), x1)) -> c111(A__U85(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U85(U86(z0), x1)) -> c111(A__U85(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U85(U91(z0, z1, z2), x1)) -> c111(A__U85(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U85(U92(z0, z1, z2), x1)) -> c111(A__U85(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U85(U93(z0, z1, z2), x1)) -> c111(A__U85(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U85(U94(z0, z1), x1)) -> c111(A__U85(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U85(length(z0), x1)) -> c111(A__U85(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U85(zeros, x1)) -> c111(A__U85(a__zeros, x1)) MARK(U85(cons(z0, z1), x1)) -> c111(MARK(cons(z0, z1))) MARK(U85(tt, x1)) -> c111(A__U85(tt, x1)) MARK(U85(s(z0), x1)) -> c111(MARK(s(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(A__U84(a__isNatIListKind(z0), x1, x2)) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(MARK(isNatIListKind(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c23(A__U84(a__isNatList(z0), x1, x2)) MARK(U84(isNatList(z0), x1, x2)) -> c23(MARK(isNatList(z0))) MARK(U84(isNatKind(z0), x1, x2)) -> c23(A__U84(a__isNatKind(z0), x1, x2)) MARK(U84(isNatKind(z0), x1, x2)) -> c23(MARK(isNatKind(z0))) MARK(U84(isNat(z0), x1, x2)) -> c23(A__U84(a__isNat(z0), x1, x2)) MARK(U84(isNat(z0), x1, x2)) -> c23(MARK(isNat(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c23(A__U84(a__isNatIList(z0), x1, x2)) MARK(U84(isNatIList(z0), x1, x2)) -> c23(MARK(isNatIList(z0))) MARK(U85(U11(z0, z1), x1)) -> c111(A__U85(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U85(U12(z0, z1), x1)) -> c111(A__U85(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U85(isNatIListKind(z0), x1)) -> c111(A__U85(a__isNatIListKind(z0), x1), MARK(isNatIListKind(z0))) MARK(U85(U13(z0), x1)) -> c111(A__U85(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U85(isNatList(z0), x1)) -> c111(A__U85(a__isNatList(z0), x1), MARK(isNatList(z0))) MARK(U85(U21(z0, z1), x1)) -> c111(A__U85(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U85(U22(z0, z1), x1)) -> c111(A__U85(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U85(isNatKind(z0), x1)) -> c111(A__U85(a__isNatKind(z0), x1), MARK(isNatKind(z0))) MARK(U85(U23(z0), x1)) -> c111(A__U85(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U85(isNat(z0), x1)) -> c111(A__U85(a__isNat(z0), x1), MARK(isNat(z0))) MARK(U85(U31(z0, z1), x1)) -> c111(A__U85(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U85(U32(z0, z1), x1)) -> c111(A__U85(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U85(U33(z0), x1)) -> c111(A__U85(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U85(U41(z0, z1, z2), x1)) -> c111(A__U85(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U85(U42(z0, z1, z2), x1)) -> c111(A__U85(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U85(U43(z0, z1, z2), x1)) -> c111(A__U85(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U85(U44(z0, z1, z2), x1)) -> c111(A__U85(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U85(U45(z0, z1), x1)) -> c111(A__U85(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U85(U46(z0), x1)) -> c111(A__U85(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U85(isNatIList(z0), x1)) -> c111(A__U85(a__isNatIList(z0), x1), MARK(isNatIList(z0))) MARK(U85(U51(z0, z1), x1)) -> c111(A__U85(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U85(U52(z0), x1)) -> c111(A__U85(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U85(U61(z0), x1)) -> c111(A__U85(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U85(U71(z0), x1)) -> c111(A__U85(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U85(U81(z0, z1, z2), x1)) -> c111(A__U85(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U85(U82(z0, z1, z2), x1)) -> c111(A__U85(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U85(U83(z0, z1, z2), x1)) -> c111(A__U85(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U85(U84(z0, z1, z2), x1)) -> c111(A__U85(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U85(U85(z0, z1), x1)) -> c111(A__U85(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U85(U86(z0), x1)) -> c111(A__U85(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U85(U91(z0, z1, z2), x1)) -> c111(A__U85(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U85(U92(z0, z1, z2), x1)) -> c111(A__U85(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U85(U93(z0, z1, z2), x1)) -> c111(A__U85(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U85(U94(z0, z1), x1)) -> c111(A__U85(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U85(length(z0), x1)) -> c111(A__U85(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U85(zeros, x1)) -> c111(A__U85(a__zeros, x1)) MARK(U85(cons(z0, z1), x1)) -> c111(MARK(cons(z0, z1))) MARK(U85(tt, x1)) -> c111(A__U85(tt, x1)) MARK(U85(s(z0), x1)) -> c111(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2, c109_1, c21_1, c110_2, c110_1, c23_1, c111_2, c111_1 ---------------------------------------- (281) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (282) Obligation: Complexity Dependency Tuples Problem Rules: a__zeros -> cons(0, zeros) a__zeros -> zeros a__U11(tt, z0) -> a__U12(a__isNatIListKind(z0), z0) a__U11(z0, z1) -> U11(z0, z1) a__U12(tt, z0) -> a__U13(a__isNatList(z0)) a__U12(z0, z1) -> U12(z0, z1) a__U13(tt) -> tt a__U13(z0) -> U13(z0) a__U21(tt, z0) -> a__U22(a__isNatKind(z0), z0) a__U21(z0, z1) -> U21(z0, z1) a__U22(tt, z0) -> a__U23(a__isNat(z0)) a__U22(z0, z1) -> U22(z0, z1) a__U23(tt) -> tt a__U23(z0) -> U23(z0) a__U31(tt, z0) -> a__U32(a__isNatIListKind(z0), z0) a__U31(z0, z1) -> U31(z0, z1) a__U32(tt, z0) -> a__U33(a__isNatList(z0)) a__U32(z0, z1) -> U32(z0, z1) a__U33(tt) -> tt a__U33(z0) -> U33(z0) a__U41(tt, z0, z1) -> a__U42(a__isNatKind(z0), z0, z1) a__U41(z0, z1, z2) -> U41(z0, z1, z2) a__U42(tt, z0, z1) -> a__U43(a__isNatIListKind(z1), z0, z1) a__U42(z0, z1, z2) -> U42(z0, z1, z2) a__U43(tt, z0, z1) -> a__U44(a__isNatIListKind(z1), z0, z1) a__U43(z0, z1, z2) -> U43(z0, z1, z2) a__U44(tt, z0, z1) -> a__U45(a__isNat(z0), z1) a__U44(z0, z1, z2) -> U44(z0, z1, z2) a__U45(tt, z0) -> a__U46(a__isNatIList(z0)) a__U45(z0, z1) -> U45(z0, z1) a__U46(tt) -> tt a__U46(z0) -> U46(z0) a__U51(tt, z0) -> a__U52(a__isNatIListKind(z0)) a__U51(z0, z1) -> U51(z0, z1) a__U52(tt) -> tt a__U52(z0) -> U52(z0) a__U61(tt) -> tt a__U61(z0) -> U61(z0) a__U71(tt) -> tt a__U71(z0) -> U71(z0) a__U81(tt, z0, z1) -> a__U82(a__isNatKind(z0), z0, z1) a__U81(z0, z1, z2) -> U81(z0, z1, z2) a__U82(tt, z0, z1) -> a__U83(a__isNatIListKind(z1), z0, z1) a__U82(z0, z1, z2) -> U82(z0, z1, z2) a__U83(tt, z0, z1) -> a__U84(a__isNatIListKind(z1), z0, z1) a__U83(z0, z1, z2) -> U83(z0, z1, z2) a__U84(tt, z0, z1) -> a__U85(a__isNat(z0), z1) a__U84(z0, z1, z2) -> U84(z0, z1, z2) a__U85(tt, z0) -> a__U86(a__isNatList(z0)) a__U85(z0, z1) -> U85(z0, z1) a__U86(tt) -> tt a__U86(z0) -> U86(z0) a__U91(tt, z0, z1) -> a__U92(a__isNatIListKind(z0), z0, z1) a__U91(z0, z1, z2) -> U91(z0, z1, z2) a__U92(tt, z0, z1) -> a__U93(a__isNat(z1), z0, z1) a__U92(z0, z1, z2) -> U92(z0, z1, z2) a__U93(tt, z0, z1) -> a__U94(a__isNatKind(z1), z0) a__U93(z0, z1, z2) -> U93(z0, z1, z2) a__U94(tt, z0) -> s(a__length(mark(z0))) a__U94(z0, z1) -> U94(z0, z1) a__isNat(0) -> tt a__isNat(length(z0)) -> a__U11(a__isNatIListKind(z0), z0) a__isNat(s(z0)) -> a__U21(a__isNatKind(z0), z0) a__isNat(z0) -> isNat(z0) a__isNatIList(z0) -> a__U31(a__isNatIListKind(z0), z0) a__isNatIList(zeros) -> tt a__isNatIList(cons(z0, z1)) -> a__U41(a__isNatKind(z0), z0, z1) a__isNatIList(z0) -> isNatIList(z0) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(z0, z1)) -> a__U51(a__isNatKind(z0), z1) a__isNatIListKind(z0) -> isNatIListKind(z0) a__isNatKind(0) -> tt a__isNatKind(length(z0)) -> a__U61(a__isNatIListKind(z0)) a__isNatKind(s(z0)) -> a__U71(a__isNatKind(z0)) a__isNatKind(z0) -> isNatKind(z0) a__isNatList(nil) -> tt a__isNatList(cons(z0, z1)) -> a__U81(a__isNatKind(z0), z0, z1) a__isNatList(z0) -> isNatList(z0) a__length(nil) -> 0 a__length(cons(z0, z1)) -> a__U91(a__isNatList(z1), z1, z0) a__length(z0) -> length(z0) mark(zeros) -> a__zeros mark(U11(z0, z1)) -> a__U11(mark(z0), z1) mark(U12(z0, z1)) -> a__U12(mark(z0), z1) mark(isNatIListKind(z0)) -> a__isNatIListKind(z0) mark(U13(z0)) -> a__U13(mark(z0)) mark(isNatList(z0)) -> a__isNatList(z0) mark(U21(z0, z1)) -> a__U21(mark(z0), z1) mark(U22(z0, z1)) -> a__U22(mark(z0), z1) mark(isNatKind(z0)) -> a__isNatKind(z0) mark(U23(z0)) -> a__U23(mark(z0)) mark(isNat(z0)) -> a__isNat(z0) mark(U31(z0, z1)) -> a__U31(mark(z0), z1) mark(U32(z0, z1)) -> a__U32(mark(z0), z1) mark(U33(z0)) -> a__U33(mark(z0)) mark(U41(z0, z1, z2)) -> a__U41(mark(z0), z1, z2) mark(U42(z0, z1, z2)) -> a__U42(mark(z0), z1, z2) mark(U43(z0, z1, z2)) -> a__U43(mark(z0), z1, z2) mark(U44(z0, z1, z2)) -> a__U44(mark(z0), z1, z2) mark(U45(z0, z1)) -> a__U45(mark(z0), z1) mark(U46(z0)) -> a__U46(mark(z0)) mark(isNatIList(z0)) -> a__isNatIList(z0) mark(U51(z0, z1)) -> a__U51(mark(z0), z1) mark(U52(z0)) -> a__U52(mark(z0)) mark(U61(z0)) -> a__U61(mark(z0)) mark(U71(z0)) -> a__U71(mark(z0)) mark(U81(z0, z1, z2)) -> a__U81(mark(z0), z1, z2) mark(U82(z0, z1, z2)) -> a__U82(mark(z0), z1, z2) mark(U83(z0, z1, z2)) -> a__U83(mark(z0), z1, z2) mark(U84(z0, z1, z2)) -> a__U84(mark(z0), z1, z2) mark(U85(z0, z1)) -> a__U85(mark(z0), z1) mark(U86(z0)) -> a__U86(mark(z0)) mark(U91(z0, z1, z2)) -> a__U91(mark(z0), z1, z2) mark(U92(z0, z1, z2)) -> a__U92(mark(z0), z1, z2) mark(U93(z0, z1, z2)) -> a__U93(mark(z0), z1, z2) mark(U94(z0, z1)) -> a__U94(mark(z0), z1) mark(length(z0)) -> a__length(mark(z0)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(0) -> 0 mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(nil) -> nil Tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U21(U43(z0, z1, z2), x1)) -> c88(A__U21(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U21(U44(z0, z1, z2), x1)) -> c88(A__U21(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U21(U45(z0, z1), x1)) -> c88(A__U21(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U21(U46(z0), x1)) -> c88(A__U21(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U21(U51(z0, z1), x1)) -> c88(A__U21(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U21(U52(z0), x1)) -> c88(A__U21(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U21(U61(z0), x1)) -> c88(A__U21(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U21(U71(z0), x1)) -> c88(A__U21(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U21(U81(z0, z1, z2), x1)) -> c88(A__U21(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U21(U82(z0, z1, z2), x1)) -> c88(A__U21(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U21(U83(z0, z1, z2), x1)) -> c88(A__U21(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U21(U84(z0, z1, z2), x1)) -> c88(A__U21(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U21(U85(z0, z1), x1)) -> c88(A__U21(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U21(U86(z0), x1)) -> c88(A__U21(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U21(U91(z0, z1, z2), x1)) -> c88(A__U21(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U21(U92(z0, z1, z2), x1)) -> c88(A__U21(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U21(U93(z0, z1, z2), x1)) -> c88(A__U21(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U21(U94(z0, z1), x1)) -> c88(A__U21(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U21(length(z0), x1)) -> c88(A__U21(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U21(zeros, x1)) -> c88(A__U21(a__zeros, x1)) MARK(U21(cons(z0, z1), x1)) -> c88(MARK(cons(z0, z1))) MARK(U21(tt, x1)) -> c88(A__U21(tt, x1)) MARK(U21(s(z0), x1)) -> c88(MARK(s(z0))) MARK(U21(isNatIListKind(z0), x1)) -> c5(A__U21(a__isNatIListKind(z0), x1)) MARK(U21(isNatIListKind(z0), x1)) -> c5(MARK(isNatIListKind(z0))) MARK(U21(isNatList(z0), x1)) -> c5(A__U21(a__isNatList(z0), x1)) MARK(U21(isNatList(z0), x1)) -> c5(MARK(isNatList(z0))) MARK(U21(isNatKind(z0), x1)) -> c5(A__U21(a__isNatKind(z0), x1)) MARK(U21(isNatKind(z0), x1)) -> c5(MARK(isNatKind(z0))) MARK(U21(isNat(z0), x1)) -> c5(A__U21(a__isNat(z0), x1)) MARK(U21(isNat(z0), x1)) -> c5(MARK(isNat(z0))) MARK(U21(isNatIList(z0), x1)) -> c5(A__U21(a__isNatIList(z0), x1)) MARK(U21(isNatIList(z0), x1)) -> c5(MARK(isNatIList(z0))) MARK(U22(U11(z0, z1), x1)) -> c89(A__U22(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U22(U12(z0, z1), x1)) -> c89(A__U22(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U22(U13(z0), x1)) -> c89(A__U22(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U22(U21(z0, z1), x1)) -> c89(A__U22(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U22(U22(z0, z1), x1)) -> c89(A__U22(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U22(U23(z0), x1)) -> c89(A__U22(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U22(U31(z0, z1), x1)) -> c89(A__U22(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U22(U32(z0, z1), x1)) -> c89(A__U22(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U22(U33(z0), x1)) -> c89(A__U22(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U22(U41(z0, z1, z2), x1)) -> c89(A__U22(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U22(U42(z0, z1, z2), x1)) -> c89(A__U22(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U22(U43(z0, z1, z2), x1)) -> c89(A__U22(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U22(U44(z0, z1, z2), x1)) -> c89(A__U22(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U22(U45(z0, z1), x1)) -> c89(A__U22(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U22(U46(z0), x1)) -> c89(A__U22(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U22(U51(z0, z1), x1)) -> c89(A__U22(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U22(U52(z0), x1)) -> c89(A__U22(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U31(U85(z0, z1), x1)) -> c93(A__U31(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U31(U86(z0), x1)) -> c93(A__U31(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U31(U91(z0, z1, z2), x1)) -> c93(A__U31(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U31(U92(z0, z1, z2), x1)) -> c93(A__U31(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U31(U93(z0, z1, z2), x1)) -> c93(A__U31(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U31(U94(z0, z1), x1)) -> c93(A__U31(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U31(length(z0), x1)) -> c93(A__U31(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U31(zeros, x1)) -> c93(A__U31(a__zeros, x1)) MARK(U31(cons(z0, z1), x1)) -> c93(MARK(cons(z0, z1))) MARK(U31(tt, x1)) -> c93(A__U31(tt, x1)) MARK(U31(s(z0), x1)) -> c93(MARK(s(z0))) MARK(U31(isNatIListKind(z0), x1)) -> c7(A__U31(a__isNatIListKind(z0), x1)) MARK(U31(isNatIListKind(z0), x1)) -> c7(MARK(isNatIListKind(z0))) MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(A__U84(a__isNatIListKind(z0), x1, x2)) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(MARK(isNatIListKind(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c23(A__U84(a__isNatList(z0), x1, x2)) MARK(U84(isNatList(z0), x1, x2)) -> c23(MARK(isNatList(z0))) MARK(U84(isNatKind(z0), x1, x2)) -> c23(A__U84(a__isNatKind(z0), x1, x2)) MARK(U84(isNatKind(z0), x1, x2)) -> c23(MARK(isNatKind(z0))) MARK(U84(isNat(z0), x1, x2)) -> c23(A__U84(a__isNat(z0), x1, x2)) MARK(U84(isNat(z0), x1, x2)) -> c23(MARK(isNat(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c23(A__U84(a__isNatIList(z0), x1, x2)) MARK(U84(isNatIList(z0), x1, x2)) -> c23(MARK(isNatIList(z0))) MARK(U85(U11(z0, z1), x1)) -> c111(A__U85(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U85(U12(z0, z1), x1)) -> c111(A__U85(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U85(U13(z0), x1)) -> c111(A__U85(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U85(U21(z0, z1), x1)) -> c111(A__U85(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U85(U22(z0, z1), x1)) -> c111(A__U85(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U85(U23(z0), x1)) -> c111(A__U85(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U85(U31(z0, z1), x1)) -> c111(A__U85(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U85(U32(z0, z1), x1)) -> c111(A__U85(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U85(U33(z0), x1)) -> c111(A__U85(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U85(U41(z0, z1, z2), x1)) -> c111(A__U85(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U85(U42(z0, z1, z2), x1)) -> c111(A__U85(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U85(U43(z0, z1, z2), x1)) -> c111(A__U85(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U85(U44(z0, z1, z2), x1)) -> c111(A__U85(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U85(U45(z0, z1), x1)) -> c111(A__U85(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U85(U46(z0), x1)) -> c111(A__U85(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U85(U51(z0, z1), x1)) -> c111(A__U85(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U85(U52(z0), x1)) -> c111(A__U85(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U85(U61(z0), x1)) -> c111(A__U85(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U85(U71(z0), x1)) -> c111(A__U85(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U85(U81(z0, z1, z2), x1)) -> c111(A__U85(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U85(U82(z0, z1, z2), x1)) -> c111(A__U85(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U85(U83(z0, z1, z2), x1)) -> c111(A__U85(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U85(U84(z0, z1, z2), x1)) -> c111(A__U85(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U85(U85(z0, z1), x1)) -> c111(A__U85(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U85(U86(z0), x1)) -> c111(A__U85(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U85(U91(z0, z1, z2), x1)) -> c111(A__U85(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U85(U92(z0, z1, z2), x1)) -> c111(A__U85(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U85(U93(z0, z1, z2), x1)) -> c111(A__U85(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U85(U94(z0, z1), x1)) -> c111(A__U85(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U85(length(z0), x1)) -> c111(A__U85(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U85(zeros, x1)) -> c111(A__U85(a__zeros, x1)) MARK(U85(cons(z0, z1), x1)) -> c111(MARK(cons(z0, z1))) MARK(U85(tt, x1)) -> c111(A__U85(tt, x1)) MARK(U85(s(z0), x1)) -> c111(MARK(s(z0))) MARK(U85(isNatIListKind(z0), x1)) -> c25(A__U85(a__isNatIListKind(z0), x1)) MARK(U85(isNatIListKind(z0), x1)) -> c25(MARK(isNatIListKind(z0))) MARK(U85(isNatList(z0), x1)) -> c25(A__U85(a__isNatList(z0), x1)) MARK(U85(isNatList(z0), x1)) -> c25(MARK(isNatList(z0))) MARK(U85(isNatKind(z0), x1)) -> c25(A__U85(a__isNatKind(z0), x1)) MARK(U85(isNatKind(z0), x1)) -> c25(MARK(isNatKind(z0))) MARK(U85(isNat(z0), x1)) -> c25(A__U85(a__isNat(z0), x1)) MARK(U85(isNat(z0), x1)) -> c25(MARK(isNat(z0))) MARK(U85(isNatIList(z0), x1)) -> c25(A__U85(a__isNatIList(z0), x1)) MARK(U85(isNatIList(z0), x1)) -> c25(MARK(isNatIList(z0))) S tuples: MARK(isNatIListKind(z0)) -> c85(A__ISNATILISTKIND(z0)) MARK(isNatList(z0)) -> c87(A__ISNATLIST(z0)) MARK(isNatKind(z0)) -> c90(A__ISNATKIND(z0)) MARK(isNat(z0)) -> c92(A__ISNAT(z0)) MARK(isNatIList(z0)) -> c102(A__ISNATILIST(z0)) MARK(U91(z0, z1, z2)) -> c113(A__U91(mark(z0), z1, z2), MARK(z0)) MARK(U92(z0, z1, z2)) -> c114(A__U92(mark(z0), z1, z2), MARK(z0)) MARK(U93(z0, z1, z2)) -> c115(A__U93(mark(z0), z1, z2), MARK(z0)) MARK(U94(z0, z1)) -> c116(A__U94(mark(z0), z1), MARK(z0)) MARK(length(z0)) -> c117(A__LENGTH(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c118(MARK(z0)) MARK(s(z0)) -> c121(MARK(z0)) A__U12(tt, z0) -> c4(A__ISNATLIST(z0)) A__U22(tt, z0) -> c10(A__ISNAT(z0)) A__U32(tt, z0) -> c16(A__ISNATLIST(z0)) A__U45(tt, z0) -> c28(A__ISNATILIST(z0)) A__U51(tt, z0) -> c32(A__ISNATILISTKIND(z0)) A__U85(tt, z0) -> c48(A__ISNATLIST(z0)) A__ISNATKIND(length(z0)) -> c73(A__ISNATILISTKIND(z0)) A__ISNATKIND(s(z0)) -> c74(A__ISNATKIND(z0)) MARK(U13(z0)) -> c86(MARK(z0)) MARK(U23(z0)) -> c91(MARK(z0)) MARK(U33(z0)) -> c95(MARK(z0)) MARK(U46(z0)) -> c101(MARK(z0)) MARK(U52(z0)) -> c104(MARK(z0)) MARK(U61(z0)) -> c105(MARK(z0)) MARK(U71(z0)) -> c106(MARK(z0)) MARK(U86(z0)) -> c112(MARK(z0)) A__U31(tt, z0) -> c(A__U32(a__isNatIListKind(z0), z0)) A__U31(tt, z0) -> c(A__ISNATILISTKIND(z0)) A__ISNATILIST(z0) -> c(A__U31(a__isNatIListKind(z0), z0)) A__ISNATILIST(z0) -> c(A__ISNATILISTKIND(z0)) A__U11(tt, cons(z0, z1)) -> c2(A__U12(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U11(tt, nil) -> c2(A__U12(tt, nil)) A__U11(tt, zeros) -> c2(A__U12(tt, zeros)) A__U11(tt, z0) -> c2(A__ISNATILISTKIND(z0)) A__U21(tt, length(z0)) -> c8(A__U22(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__U21(tt, s(z0)) -> c8(A__U22(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__U21(tt, 0) -> c8(A__U22(tt, 0)) A__U21(tt, z0) -> c8(A__ISNATKIND(z0)) A__U41(tt, length(z0), x1) -> c20(A__U42(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U41(tt, s(z0), x1) -> c20(A__U42(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U41(tt, 0, x1) -> c20(A__U42(tt, 0, x1)) A__U41(tt, z0, x1) -> c20(A__ISNATKIND(z0)) A__U42(tt, x0, cons(z0, z1)) -> c22(A__U43(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U42(tt, x0, nil) -> c22(A__U43(tt, x0, nil)) A__U42(tt, x0, zeros) -> c22(A__U43(tt, x0, zeros)) A__U42(tt, x0, z0) -> c22(A__ISNATILISTKIND(z0)) A__U43(tt, x0, cons(z0, z1)) -> c24(A__U44(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U43(tt, x0, nil) -> c24(A__U44(tt, x0, nil)) A__U43(tt, x0, zeros) -> c24(A__U44(tt, x0, zeros)) A__U43(tt, x0, z0) -> c24(A__ISNATILISTKIND(z0)) A__U44(tt, length(z0), x1) -> c26(A__U45(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U44(tt, s(z0), x1) -> c26(A__U45(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U44(tt, 0, x1) -> c26(A__U45(tt, x1)) A__U44(tt, z0, x1) -> c26(A__ISNAT(z0)) A__U81(tt, length(z0), x1) -> c40(A__U82(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__U81(tt, s(z0), x1) -> c40(A__U82(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__U81(tt, 0, x1) -> c40(A__U82(tt, 0, x1)) A__U81(tt, z0, x1) -> c40(A__ISNATKIND(z0)) A__U82(tt, x0, cons(z0, z1)) -> c42(A__U83(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U82(tt, x0, nil) -> c42(A__U83(tt, x0, nil)) A__U82(tt, x0, zeros) -> c42(A__U83(tt, x0, zeros)) A__U82(tt, x0, z0) -> c42(A__ISNATILISTKIND(z0)) A__U83(tt, x0, cons(z0, z1)) -> c44(A__U84(a__U51(a__isNatKind(z0), z1), x0, cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__U83(tt, x0, nil) -> c44(A__U84(tt, x0, nil)) A__U83(tt, x0, zeros) -> c44(A__U84(tt, x0, zeros)) A__U83(tt, x0, z0) -> c44(A__ISNATILISTKIND(z0)) A__U84(tt, length(z0), x1) -> c46(A__U85(a__U11(a__isNatIListKind(z0), z0), x1), A__ISNAT(length(z0))) A__U84(tt, s(z0), x1) -> c46(A__U85(a__U21(a__isNatKind(z0), z0), x1), A__ISNAT(s(z0))) A__U84(tt, 0, x1) -> c46(A__U85(tt, x1)) A__U84(tt, z0, x1) -> c46(A__ISNAT(z0)) A__U91(tt, cons(z0, z1), x1) -> c52(A__U92(a__U51(a__isNatKind(z0), z1), cons(z0, z1), x1), A__ISNATILISTKIND(cons(z0, z1))) A__U91(tt, nil, x1) -> c52(A__U92(tt, nil, x1)) A__U91(tt, zeros, x1) -> c52(A__U92(tt, zeros, x1)) A__U91(tt, z0, x1) -> c52(A__ISNATILISTKIND(z0)) A__U92(tt, x0, length(z0)) -> c54(A__U93(a__U11(a__isNatIListKind(z0), z0), x0, length(z0)), A__ISNAT(length(z0))) A__U92(tt, x0, s(z0)) -> c54(A__U93(a__U21(a__isNatKind(z0), z0), x0, s(z0)), A__ISNAT(s(z0))) A__U92(tt, x0, 0) -> c54(A__U93(tt, x0, 0)) A__U92(tt, x0, z0) -> c54(A__ISNAT(z0)) A__U93(tt, x0, length(z0)) -> c56(A__U94(a__U61(a__isNatIListKind(z0)), x0), A__ISNATKIND(length(z0))) A__U93(tt, x0, s(z0)) -> c56(A__U94(a__U71(a__isNatKind(z0)), x0), A__ISNATKIND(s(z0))) A__U93(tt, x0, 0) -> c56(A__U94(tt, x0)) A__U93(tt, x0, z0) -> c56(A__ISNATKIND(z0)) A__U94(tt, U11(z0, z1)) -> c58(A__LENGTH(a__U11(mark(z0), z1)), MARK(U11(z0, z1))) A__U94(tt, U12(z0, z1)) -> c58(A__LENGTH(a__U12(mark(z0), z1)), MARK(U12(z0, z1))) A__U94(tt, isNatIListKind(z0)) -> c58(A__LENGTH(a__isNatIListKind(z0)), MARK(isNatIListKind(z0))) A__U94(tt, U13(z0)) -> c58(A__LENGTH(a__U13(mark(z0))), MARK(U13(z0))) A__U94(tt, isNatList(z0)) -> c58(A__LENGTH(a__isNatList(z0)), MARK(isNatList(z0))) A__U94(tt, U21(z0, z1)) -> c58(A__LENGTH(a__U21(mark(z0), z1)), MARK(U21(z0, z1))) A__U94(tt, U22(z0, z1)) -> c58(A__LENGTH(a__U22(mark(z0), z1)), MARK(U22(z0, z1))) A__U94(tt, isNatKind(z0)) -> c58(A__LENGTH(a__isNatKind(z0)), MARK(isNatKind(z0))) A__U94(tt, U23(z0)) -> c58(A__LENGTH(a__U23(mark(z0))), MARK(U23(z0))) A__U94(tt, isNat(z0)) -> c58(A__LENGTH(a__isNat(z0)), MARK(isNat(z0))) A__U94(tt, U31(z0, z1)) -> c58(A__LENGTH(a__U31(mark(z0), z1)), MARK(U31(z0, z1))) A__U94(tt, U32(z0, z1)) -> c58(A__LENGTH(a__U32(mark(z0), z1)), MARK(U32(z0, z1))) A__U94(tt, U33(z0)) -> c58(A__LENGTH(a__U33(mark(z0))), MARK(U33(z0))) A__U94(tt, U41(z0, z1, z2)) -> c58(A__LENGTH(a__U41(mark(z0), z1, z2)), MARK(U41(z0, z1, z2))) A__U94(tt, U42(z0, z1, z2)) -> c58(A__LENGTH(a__U42(mark(z0), z1, z2)), MARK(U42(z0, z1, z2))) A__U94(tt, U43(z0, z1, z2)) -> c58(A__LENGTH(a__U43(mark(z0), z1, z2)), MARK(U43(z0, z1, z2))) A__U94(tt, U44(z0, z1, z2)) -> c58(A__LENGTH(a__U44(mark(z0), z1, z2)), MARK(U44(z0, z1, z2))) A__U94(tt, U45(z0, z1)) -> c58(A__LENGTH(a__U45(mark(z0), z1)), MARK(U45(z0, z1))) A__U94(tt, U46(z0)) -> c58(A__LENGTH(a__U46(mark(z0))), MARK(U46(z0))) A__U94(tt, isNatIList(z0)) -> c58(A__LENGTH(a__isNatIList(z0)), MARK(isNatIList(z0))) A__U94(tt, U51(z0, z1)) -> c58(A__LENGTH(a__U51(mark(z0), z1)), MARK(U51(z0, z1))) A__U94(tt, U52(z0)) -> c58(A__LENGTH(a__U52(mark(z0))), MARK(U52(z0))) A__U94(tt, U61(z0)) -> c58(A__LENGTH(a__U61(mark(z0))), MARK(U61(z0))) A__U94(tt, U71(z0)) -> c58(A__LENGTH(a__U71(mark(z0))), MARK(U71(z0))) A__U94(tt, U81(z0, z1, z2)) -> c58(A__LENGTH(a__U81(mark(z0), z1, z2)), MARK(U81(z0, z1, z2))) A__U94(tt, U82(z0, z1, z2)) -> c58(A__LENGTH(a__U82(mark(z0), z1, z2)), MARK(U82(z0, z1, z2))) A__U94(tt, U83(z0, z1, z2)) -> c58(A__LENGTH(a__U83(mark(z0), z1, z2)), MARK(U83(z0, z1, z2))) A__U94(tt, U84(z0, z1, z2)) -> c58(A__LENGTH(a__U84(mark(z0), z1, z2)), MARK(U84(z0, z1, z2))) A__U94(tt, U85(z0, z1)) -> c58(A__LENGTH(a__U85(mark(z0), z1)), MARK(U85(z0, z1))) A__U94(tt, U86(z0)) -> c58(A__LENGTH(a__U86(mark(z0))), MARK(U86(z0))) A__U94(tt, U91(z0, z1, z2)) -> c58(A__LENGTH(a__U91(mark(z0), z1, z2)), MARK(U91(z0, z1, z2))) A__U94(tt, U92(z0, z1, z2)) -> c58(A__LENGTH(a__U92(mark(z0), z1, z2)), MARK(U92(z0, z1, z2))) A__U94(tt, U93(z0, z1, z2)) -> c58(A__LENGTH(a__U93(mark(z0), z1, z2)), MARK(U93(z0, z1, z2))) A__U94(tt, U94(z0, z1)) -> c58(A__LENGTH(a__U94(mark(z0), z1)), MARK(U94(z0, z1))) A__U94(tt, length(z0)) -> c58(A__LENGTH(a__length(mark(z0))), MARK(length(z0))) A__U94(tt, cons(z0, z1)) -> c58(A__LENGTH(cons(mark(z0), z1)), MARK(cons(z0, z1))) A__U94(tt, zeros) -> c58(A__LENGTH(a__zeros)) A__U94(tt, s(z0)) -> c58(MARK(s(z0))) A__ISNAT(length(cons(z0, z1))) -> c61(A__U11(a__U51(a__isNatKind(z0), z1), cons(z0, z1)), A__ISNATILISTKIND(cons(z0, z1))) A__ISNAT(length(nil)) -> c61(A__U11(tt, nil)) A__ISNAT(length(zeros)) -> c61(A__U11(tt, zeros)) A__ISNAT(length(z0)) -> c61(A__ISNATILISTKIND(z0)) A__ISNAT(s(length(z0))) -> c62(A__U21(a__U61(a__isNatIListKind(z0)), length(z0)), A__ISNATKIND(length(z0))) A__ISNAT(s(s(z0))) -> c62(A__U21(a__U71(a__isNatKind(z0)), s(z0)), A__ISNATKIND(s(z0))) A__ISNAT(s(0)) -> c62(A__U21(tt, 0)) A__ISNAT(s(z0)) -> c62(A__ISNATKIND(z0)) A__ISNATILIST(cons(length(z0), x1)) -> c66(A__U41(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATILIST(cons(s(z0), x1)) -> c66(A__U41(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATILIST(cons(0, x1)) -> c66(A__U41(tt, 0, x1)) A__ISNATILIST(cons(z0, x1)) -> c66(A__ISNATKIND(z0)) A__ISNATILISTKIND(cons(length(z0), x1)) -> c70(A__U51(a__U61(a__isNatIListKind(z0)), x1), A__ISNATKIND(length(z0))) A__ISNATILISTKIND(cons(s(z0), x1)) -> c70(A__U51(a__U71(a__isNatKind(z0)), x1), A__ISNATKIND(s(z0))) A__ISNATILISTKIND(cons(0, x1)) -> c70(A__U51(tt, x1)) A__ISNATILISTKIND(cons(z0, x1)) -> c70(A__ISNATKIND(z0)) A__ISNATLIST(cons(length(z0), x1)) -> c77(A__U81(a__U61(a__isNatIListKind(z0)), length(z0), x1), A__ISNATKIND(length(z0))) A__ISNATLIST(cons(s(z0), x1)) -> c77(A__U81(a__U71(a__isNatKind(z0)), s(z0), x1), A__ISNATKIND(s(z0))) A__ISNATLIST(cons(0, x1)) -> c77(A__U81(tt, 0, x1)) A__ISNATLIST(cons(z0, x1)) -> c77(A__ISNATKIND(z0)) A__LENGTH(cons(x0, cons(z0, z1))) -> c80(A__U91(a__U81(a__isNatKind(z0), z0, z1), cons(z0, z1), x0), A__ISNATLIST(cons(z0, z1))) A__LENGTH(cons(x0, nil)) -> c80(A__U91(tt, nil, x0)) A__LENGTH(cons(x0, z0)) -> c80(A__ISNATLIST(z0)) MARK(U11(U11(z0, z1), x1)) -> c83(A__U11(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U11(U12(z0, z1), x1)) -> c83(A__U11(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U11(U13(z0), x1)) -> c83(A__U11(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1)) -> c83(A__U11(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U11(U22(z0, z1), x1)) -> c83(A__U11(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U11(U23(z0), x1)) -> c83(A__U11(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U11(U31(z0, z1), x1)) -> c83(A__U11(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0, z1), x1)) -> c83(A__U11(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1)) -> c83(A__U11(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U11(U41(z0, z1, z2), x1)) -> c83(A__U11(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U11(U42(z0, z1, z2), x1)) -> c83(A__U11(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U11(U43(z0, z1, z2), x1)) -> c83(A__U11(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U11(U44(z0, z1, z2), x1)) -> c83(A__U11(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U11(U45(z0, z1), x1)) -> c83(A__U11(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U11(U46(z0), x1)) -> c83(A__U11(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U11(U51(z0, z1), x1)) -> c83(A__U11(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U11(U52(z0), x1)) -> c83(A__U11(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U11(U61(z0), x1)) -> c83(A__U11(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U11(U71(z0), x1)) -> c83(A__U11(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U11(U81(z0, z1, z2), x1)) -> c83(A__U11(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U11(U82(z0, z1, z2), x1)) -> c83(A__U11(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U11(U83(z0, z1, z2), x1)) -> c83(A__U11(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U11(U84(z0, z1, z2), x1)) -> c83(A__U11(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U11(U85(z0, z1), x1)) -> c83(A__U11(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U11(U86(z0), x1)) -> c83(A__U11(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U11(U91(z0, z1, z2), x1)) -> c83(A__U11(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U11(U92(z0, z1, z2), x1)) -> c83(A__U11(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U11(U93(z0, z1, z2), x1)) -> c83(A__U11(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U11(U94(z0, z1), x1)) -> c83(A__U11(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U11(length(z0), x1)) -> c83(A__U11(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U11(zeros, x1)) -> c83(A__U11(a__zeros, x1)) MARK(U11(cons(z0, z1), x1)) -> c83(MARK(cons(z0, z1))) MARK(U11(tt, x1)) -> c83(A__U11(tt, x1)) MARK(U11(s(z0), x1)) -> c83(MARK(s(z0))) MARK(U11(isNatIListKind(z0), x1)) -> c1(A__U11(a__isNatIListKind(z0), x1)) MARK(U11(isNatIListKind(z0), x1)) -> c1(MARK(isNatIListKind(z0))) MARK(U11(isNatList(z0), x1)) -> c1(A__U11(a__isNatList(z0), x1)) MARK(U11(isNatList(z0), x1)) -> c1(MARK(isNatList(z0))) MARK(U11(isNatKind(z0), x1)) -> c1(A__U11(a__isNatKind(z0), x1)) MARK(U11(isNatKind(z0), x1)) -> c1(MARK(isNatKind(z0))) MARK(U11(isNat(z0), x1)) -> c1(A__U11(a__isNat(z0), x1)) MARK(U11(isNat(z0), x1)) -> c1(MARK(isNat(z0))) MARK(U11(isNatIList(z0), x1)) -> c1(A__U11(a__isNatIList(z0), x1)) MARK(U11(isNatIList(z0), x1)) -> c1(MARK(isNatIList(z0))) MARK(U12(U11(z0, z1), x1)) -> c84(A__U12(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U12(U12(z0, z1), x1)) -> c84(A__U12(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U12(U13(z0), x1)) -> c84(A__U12(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c84(A__U12(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0, z1), x1)) -> c84(A__U12(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U12(U23(z0), x1)) -> c84(A__U12(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U12(U31(z0, z1), x1)) -> c84(A__U12(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U12(U32(z0, z1), x1)) -> c84(A__U12(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c84(A__U12(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1, z2), x1)) -> c84(A__U12(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U12(U42(z0, z1, z2), x1)) -> c84(A__U12(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U12(U43(z0, z1, z2), x1)) -> c84(A__U12(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U12(U44(z0, z1, z2), x1)) -> c84(A__U12(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U12(U45(z0, z1), x1)) -> c84(A__U12(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U12(U46(z0), x1)) -> c84(A__U12(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U12(U51(z0, z1), x1)) -> c84(A__U12(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U12(U52(z0), x1)) -> c84(A__U12(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U12(U61(z0), x1)) -> c84(A__U12(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U12(U71(z0), x1)) -> c84(A__U12(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U12(U81(z0, z1, z2), x1)) -> c84(A__U12(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U12(U82(z0, z1, z2), x1)) -> c84(A__U12(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U12(U83(z0, z1, z2), x1)) -> c84(A__U12(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U12(U84(z0, z1, z2), x1)) -> c84(A__U12(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U12(U85(z0, z1), x1)) -> c84(A__U12(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U12(U86(z0), x1)) -> c84(A__U12(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U12(U91(z0, z1, z2), x1)) -> c84(A__U12(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U12(U92(z0, z1, z2), x1)) -> c84(A__U12(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U12(U93(z0, z1, z2), x1)) -> c84(A__U12(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U12(U94(z0, z1), x1)) -> c84(A__U12(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U12(length(z0), x1)) -> c84(A__U12(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U12(zeros, x1)) -> c84(A__U12(a__zeros, x1)) MARK(U12(cons(z0, z1), x1)) -> c84(MARK(cons(z0, z1))) MARK(U12(tt, x1)) -> c84(A__U12(tt, x1)) MARK(U12(s(z0), x1)) -> c84(MARK(s(z0))) MARK(U12(isNatIListKind(z0), x1)) -> c3(A__U12(a__isNatIListKind(z0), x1)) MARK(U12(isNatIListKind(z0), x1)) -> c3(MARK(isNatIListKind(z0))) MARK(U12(isNatList(z0), x1)) -> c3(A__U12(a__isNatList(z0), x1)) MARK(U12(isNatList(z0), x1)) -> c3(MARK(isNatList(z0))) MARK(U12(isNatKind(z0), x1)) -> c3(A__U12(a__isNatKind(z0), x1)) MARK(U12(isNatKind(z0), x1)) -> c3(MARK(isNatKind(z0))) MARK(U12(isNat(z0), x1)) -> c3(A__U12(a__isNat(z0), x1)) MARK(U12(isNat(z0), x1)) -> c3(MARK(isNat(z0))) MARK(U12(isNatIList(z0), x1)) -> c3(A__U12(a__isNatIList(z0), x1)) MARK(U12(isNatIList(z0), x1)) -> c3(MARK(isNatIList(z0))) MARK(U21(U11(z0, z1), x1)) -> c88(A__U21(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U21(U12(z0, z1), x1)) -> c88(A__U21(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U21(U13(z0), x1)) -> c88(A__U21(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U21(U21(z0, z1), x1)) -> c88(A__U21(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U21(U22(z0, z1), x1)) -> c88(A__U21(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U21(U23(z0), x1)) -> c88(A__U21(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U21(U31(z0, z1), x1)) -> c88(A__U21(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U21(U32(z0, z1), x1)) -> c88(A__U21(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U21(U33(z0), x1)) -> c88(A__U21(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U21(U41(z0, z1, z2), x1)) -> c88(A__U21(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U21(U42(z0, z1, z2), x1)) -> c88(A__U21(a__U42(mark(z0), 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x1), MARK(U52(z0))) MARK(U22(U61(z0), x1)) -> c89(A__U22(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U22(U71(z0), x1)) -> c89(A__U22(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U22(U81(z0, z1, z2), x1)) -> c89(A__U22(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U22(U82(z0, z1, z2), x1)) -> c89(A__U22(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U22(U83(z0, z1, z2), x1)) -> c89(A__U22(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U22(U84(z0, z1, z2), x1)) -> c89(A__U22(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U22(U85(z0, z1), x1)) -> c89(A__U22(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U22(U86(z0), x1)) -> c89(A__U22(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U22(U91(z0, z1, z2), x1)) -> c89(A__U22(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U22(U92(z0, z1, z2), x1)) -> c89(A__U22(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U22(U93(z0, z1, z2), x1)) -> c89(A__U22(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U22(U94(z0, z1), x1)) -> c89(A__U22(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U22(length(z0), x1)) -> c89(A__U22(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U22(zeros, x1)) -> c89(A__U22(a__zeros, x1)) MARK(U22(cons(z0, z1), x1)) -> c89(MARK(cons(z0, z1))) MARK(U22(tt, x1)) -> c89(A__U22(tt, x1)) MARK(U22(s(z0), x1)) -> c89(MARK(s(z0))) MARK(U22(isNatIListKind(z0), x1)) -> c6(A__U22(a__isNatIListKind(z0), x1)) MARK(U22(isNatIListKind(z0), x1)) -> c6(MARK(isNatIListKind(z0))) MARK(U22(isNatList(z0), x1)) -> c6(A__U22(a__isNatList(z0), x1)) MARK(U22(isNatList(z0), x1)) -> c6(MARK(isNatList(z0))) MARK(U22(isNatKind(z0), x1)) -> c6(A__U22(a__isNatKind(z0), x1)) MARK(U22(isNatKind(z0), x1)) -> c6(MARK(isNatKind(z0))) MARK(U22(isNat(z0), x1)) -> c6(A__U22(a__isNat(z0), x1)) MARK(U22(isNat(z0), x1)) -> c6(MARK(isNat(z0))) MARK(U22(isNatIList(z0), x1)) -> c6(A__U22(a__isNatIList(z0), x1)) MARK(U22(isNatIList(z0), x1)) -> c6(MARK(isNatIList(z0))) MARK(U31(U11(z0, z1), x1)) -> c93(A__U31(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U31(U12(z0, z1), x1)) -> c93(A__U31(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U31(U13(z0), x1)) -> c93(A__U31(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U31(U21(z0, z1), x1)) -> c93(A__U31(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U31(U22(z0, z1), x1)) -> c93(A__U31(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U31(U23(z0), x1)) -> c93(A__U31(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U31(U31(z0, z1), x1)) -> c93(A__U31(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0, z1), x1)) -> c93(A__U31(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U31(U33(z0), x1)) -> c93(A__U31(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U31(U41(z0, z1, z2), x1)) -> c93(A__U31(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U31(U42(z0, z1, z2), x1)) -> c93(A__U31(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U31(U43(z0, z1, z2), x1)) -> c93(A__U31(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U31(U44(z0, z1, z2), x1)) -> c93(A__U31(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U31(U45(z0, z1), x1)) -> c93(A__U31(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U31(U46(z0), x1)) -> c93(A__U31(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U31(U51(z0, z1), x1)) -> c93(A__U31(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U31(U52(z0), x1)) -> c93(A__U31(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U31(U61(z0), x1)) -> c93(A__U31(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U31(U71(z0), x1)) -> c93(A__U31(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U31(U81(z0, z1, z2), x1)) -> c93(A__U31(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U31(U82(z0, z1, z2), x1)) -> c93(A__U31(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U31(U83(z0, z1, z2), x1)) -> c93(A__U31(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U31(U84(z0, z1, z2), x1)) -> c93(A__U31(a__U84(mark(z0), z1, 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MARK(U31(isNatList(z0), x1)) -> c7(A__U31(a__isNatList(z0), x1)) MARK(U31(isNatList(z0), x1)) -> c7(MARK(isNatList(z0))) MARK(U31(isNatKind(z0), x1)) -> c7(A__U31(a__isNatKind(z0), x1)) MARK(U31(isNatKind(z0), x1)) -> c7(MARK(isNatKind(z0))) MARK(U31(isNat(z0), x1)) -> c7(A__U31(a__isNat(z0), x1)) MARK(U31(isNat(z0), x1)) -> c7(MARK(isNat(z0))) MARK(U31(isNatIList(z0), x1)) -> c7(A__U31(a__isNatIList(z0), x1)) MARK(U31(isNatIList(z0), x1)) -> c7(MARK(isNatIList(z0))) MARK(U32(U11(z0, z1), x1)) -> c94(A__U32(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U32(U12(z0, z1), x1)) -> c94(A__U32(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U32(U13(z0), x1)) -> c94(A__U32(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U32(U21(z0, z1), x1)) -> c94(A__U32(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U32(U22(z0, z1), x1)) -> c94(A__U32(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U32(U23(z0), x1)) -> c94(A__U32(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U32(U31(z0, z1), x1)) -> c94(A__U32(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U32(U32(z0, z1), x1)) -> c94(A__U32(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U32(U33(z0), x1)) -> c94(A__U32(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U32(U41(z0, z1, z2), x1)) -> c94(A__U32(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U32(U42(z0, z1, z2), x1)) -> c94(A__U32(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U32(U43(z0, z1, z2), x1)) -> c94(A__U32(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U32(U44(z0, z1, z2), x1)) -> c94(A__U32(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U32(U45(z0, z1), x1)) -> c94(A__U32(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U32(U46(z0), x1)) -> c94(A__U32(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U32(U51(z0, z1), x1)) -> c94(A__U32(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U32(U52(z0), x1)) -> c94(A__U32(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U32(U61(z0), x1)) -> c94(A__U32(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U32(U71(z0), x1)) -> c94(A__U32(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U32(U81(z0, z1, z2), x1)) -> c94(A__U32(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U32(U82(z0, z1, z2), x1)) -> c94(A__U32(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U32(U83(z0, z1, z2), x1)) -> c94(A__U32(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U32(U84(z0, z1, z2), x1)) -> c94(A__U32(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U32(U85(z0, z1), x1)) -> c94(A__U32(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U32(U86(z0), x1)) -> c94(A__U32(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U32(U91(z0, z1, z2), x1)) -> c94(A__U32(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U32(U92(z0, z1, z2), x1)) -> c94(A__U32(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U32(U93(z0, z1, z2), x1)) -> c94(A__U32(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U32(U94(z0, z1), x1)) -> c94(A__U32(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U32(length(z0), x1)) -> c94(A__U32(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U32(zeros, x1)) -> c94(A__U32(a__zeros, x1)) MARK(U32(cons(z0, z1), x1)) -> c94(MARK(cons(z0, z1))) MARK(U32(tt, x1)) -> c94(A__U32(tt, x1)) MARK(U32(s(z0), x1)) -> c94(MARK(s(z0))) MARK(U32(isNatIListKind(z0), x1)) -> c9(A__U32(a__isNatIListKind(z0), x1)) MARK(U32(isNatIListKind(z0), x1)) -> c9(MARK(isNatIListKind(z0))) MARK(U32(isNatList(z0), x1)) -> c9(A__U32(a__isNatList(z0), x1)) MARK(U32(isNatList(z0), x1)) -> c9(MARK(isNatList(z0))) MARK(U32(isNatKind(z0), x1)) -> c9(A__U32(a__isNatKind(z0), x1)) MARK(U32(isNatKind(z0), x1)) -> c9(MARK(isNatKind(z0))) MARK(U32(isNat(z0), x1)) -> c9(A__U32(a__isNat(z0), x1)) MARK(U32(isNat(z0), x1)) -> c9(MARK(isNat(z0))) MARK(U32(isNatIList(z0), x1)) -> c9(A__U32(a__isNatIList(z0), x1)) MARK(U32(isNatIList(z0), x1)) -> c9(MARK(isNatIList(z0))) MARK(U41(U11(z0, z1), x1, x2)) -> c96(A__U41(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U41(U12(z0, z1), x1, x2)) -> c96(A__U41(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U41(U13(z0), x1, x2)) -> c96(A__U41(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U41(U21(z0, z1), x1, x2)) -> c96(A__U41(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U41(U22(z0, z1), x1, x2)) -> c96(A__U41(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U41(U23(z0), x1, x2)) -> c96(A__U41(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U41(U31(z0, z1), x1, x2)) -> c96(A__U41(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U41(U32(z0, z1), x1, x2)) -> c96(A__U41(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U41(U33(z0), x1, x2)) -> c96(A__U41(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U41(U41(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U41(U42(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U41(U43(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U41(U44(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U41(U45(z0, z1), x1, x2)) -> c96(A__U41(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U41(U46(z0), x1, x2)) -> c96(A__U41(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U41(U51(z0, z1), x1, x2)) -> c96(A__U41(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U41(U52(z0), x1, x2)) -> c96(A__U41(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U41(U61(z0), x1, x2)) -> c96(A__U41(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U41(U71(z0), x1, x2)) -> c96(A__U41(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U41(U81(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U41(U82(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U41(U83(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U41(U84(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U41(U85(z0, z1), x1, x2)) -> c96(A__U41(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U41(U86(z0), x1, x2)) -> c96(A__U41(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U41(U91(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U41(U92(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U41(U93(z0, z1, z2), x1, x2)) -> c96(A__U41(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U41(U94(z0, z1), x1, x2)) -> c96(A__U41(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U41(length(z0), x1, x2)) -> c96(A__U41(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U41(zeros, x1, x2)) -> c96(A__U41(a__zeros, x1, x2)) MARK(U41(cons(z0, z1), x1, x2)) -> c96(MARK(cons(z0, z1))) MARK(U41(tt, x1, x2)) -> c96(A__U41(tt, x1, x2)) MARK(U41(s(z0), x1, x2)) -> c96(MARK(s(z0))) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(A__U41(a__isNatIListKind(z0), x1, x2)) MARK(U41(isNatIListKind(z0), x1, x2)) -> c11(MARK(isNatIListKind(z0))) MARK(U41(isNatList(z0), x1, x2)) -> c11(A__U41(a__isNatList(z0), x1, x2)) MARK(U41(isNatList(z0), x1, x2)) -> c11(MARK(isNatList(z0))) MARK(U41(isNatKind(z0), x1, x2)) -> c11(A__U41(a__isNatKind(z0), x1, x2)) MARK(U41(isNatKind(z0), x1, x2)) -> c11(MARK(isNatKind(z0))) MARK(U41(isNat(z0), x1, x2)) -> c11(A__U41(a__isNat(z0), x1, x2)) MARK(U41(isNat(z0), x1, x2)) -> c11(MARK(isNat(z0))) MARK(U41(isNatIList(z0), x1, x2)) -> c11(A__U41(a__isNatIList(z0), x1, x2)) MARK(U41(isNatIList(z0), x1, x2)) -> c11(MARK(isNatIList(z0))) MARK(U42(U11(z0, z1), x1, x2)) -> c97(A__U42(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U42(U12(z0, z1), x1, x2)) -> c97(A__U42(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U42(U13(z0), x1, x2)) -> c97(A__U42(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U42(U21(z0, z1), x1, x2)) -> c97(A__U42(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U42(U22(z0, z1), x1, x2)) -> c97(A__U42(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U42(U23(z0), x1, x2)) -> c97(A__U42(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U42(U31(z0, z1), x1, x2)) -> c97(A__U42(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U42(U32(z0, z1), x1, x2)) -> c97(A__U42(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U42(U33(z0), x1, x2)) -> c97(A__U42(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U42(U41(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U42(U42(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U42(U43(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U42(U44(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U42(U45(z0, z1), x1, x2)) -> c97(A__U42(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U42(U46(z0), x1, x2)) -> c97(A__U42(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U42(U51(z0, z1), x1, x2)) -> c97(A__U42(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U42(U52(z0), x1, x2)) -> c97(A__U42(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U42(U61(z0), x1, x2)) -> c97(A__U42(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U42(U71(z0), x1, x2)) -> c97(A__U42(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U42(U81(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U42(U82(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U42(U83(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U42(U84(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U42(U85(z0, z1), x1, x2)) -> c97(A__U42(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U42(U86(z0), x1, x2)) -> c97(A__U42(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U42(U91(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U42(U92(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U42(U93(z0, z1, z2), x1, x2)) -> c97(A__U42(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U42(U94(z0, z1), x1, x2)) -> c97(A__U42(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U42(length(z0), x1, x2)) -> c97(A__U42(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U42(zeros, x1, x2)) -> c97(A__U42(a__zeros, x1, x2)) MARK(U42(cons(z0, z1), x1, x2)) -> c97(MARK(cons(z0, z1))) MARK(U42(tt, x1, x2)) -> c97(A__U42(tt, x1, x2)) MARK(U42(s(z0), x1, x2)) -> c97(MARK(s(z0))) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(A__U42(a__isNatIListKind(z0), x1, x2)) MARK(U42(isNatIListKind(z0), x1, x2)) -> c12(MARK(isNatIListKind(z0))) MARK(U42(isNatList(z0), x1, x2)) -> c12(A__U42(a__isNatList(z0), x1, x2)) MARK(U42(isNatList(z0), x1, x2)) -> c12(MARK(isNatList(z0))) MARK(U42(isNatKind(z0), x1, x2)) -> c12(A__U42(a__isNatKind(z0), x1, x2)) MARK(U42(isNatKind(z0), x1, x2)) -> c12(MARK(isNatKind(z0))) MARK(U42(isNat(z0), x1, x2)) -> c12(A__U42(a__isNat(z0), x1, x2)) MARK(U42(isNat(z0), x1, x2)) -> c12(MARK(isNat(z0))) MARK(U42(isNatIList(z0), x1, x2)) -> c12(A__U42(a__isNatIList(z0), x1, x2)) MARK(U42(isNatIList(z0), x1, x2)) -> c12(MARK(isNatIList(z0))) MARK(U43(U11(z0, z1), x1, x2)) -> c98(A__U43(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U43(U12(z0, z1), x1, x2)) -> c98(A__U43(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U43(U13(z0), x1, x2)) -> c98(A__U43(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U43(U21(z0, z1), x1, x2)) -> c98(A__U43(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U43(U22(z0, z1), x1, x2)) -> c98(A__U43(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U43(U23(z0), x1, x2)) -> c98(A__U43(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U43(U31(z0, z1), x1, x2)) -> c98(A__U43(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U43(U32(z0, z1), x1, x2)) -> c98(A__U43(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U43(U33(z0), x1, x2)) -> c98(A__U43(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U43(U41(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U43(U42(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U43(U43(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U43(U44(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U43(U45(z0, z1), x1, x2)) -> c98(A__U43(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U43(U46(z0), x1, x2)) -> c98(A__U43(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U43(U51(z0, z1), x1, x2)) -> c98(A__U43(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U43(U52(z0), x1, x2)) -> c98(A__U43(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U43(U61(z0), x1, x2)) -> c98(A__U43(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U43(U71(z0), x1, x2)) -> c98(A__U43(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U43(U81(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U43(U82(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U43(U83(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U43(U84(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U43(U85(z0, z1), x1, x2)) -> c98(A__U43(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U43(U86(z0), x1, x2)) -> c98(A__U43(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U43(U91(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U43(U92(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U43(U93(z0, z1, z2), x1, x2)) -> c98(A__U43(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U43(U94(z0, z1), x1, x2)) -> c98(A__U43(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U43(length(z0), x1, x2)) -> c98(A__U43(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U43(zeros, x1, x2)) -> c98(A__U43(a__zeros, x1, x2)) MARK(U43(cons(z0, z1), x1, x2)) -> c98(MARK(cons(z0, z1))) MARK(U43(tt, x1, x2)) -> c98(A__U43(tt, x1, x2)) MARK(U43(s(z0), x1, x2)) -> c98(MARK(s(z0))) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(A__U43(a__isNatIListKind(z0), x1, x2)) MARK(U43(isNatIListKind(z0), x1, x2)) -> c13(MARK(isNatIListKind(z0))) MARK(U43(isNatList(z0), x1, x2)) -> c13(A__U43(a__isNatList(z0), x1, x2)) MARK(U43(isNatList(z0), x1, x2)) -> c13(MARK(isNatList(z0))) MARK(U43(isNatKind(z0), x1, x2)) -> c13(A__U43(a__isNatKind(z0), x1, x2)) MARK(U43(isNatKind(z0), x1, x2)) -> c13(MARK(isNatKind(z0))) MARK(U43(isNat(z0), x1, x2)) -> c13(A__U43(a__isNat(z0), x1, x2)) MARK(U43(isNat(z0), x1, x2)) -> c13(MARK(isNat(z0))) MARK(U43(isNatIList(z0), x1, x2)) -> c13(A__U43(a__isNatIList(z0), x1, x2)) MARK(U43(isNatIList(z0), x1, x2)) -> c13(MARK(isNatIList(z0))) MARK(U44(U11(z0, z1), x1, x2)) -> c99(A__U44(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U44(U12(z0, z1), x1, x2)) -> c99(A__U44(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U44(U13(z0), x1, x2)) -> c99(A__U44(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U44(U21(z0, z1), x1, x2)) -> c99(A__U44(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U44(U22(z0, z1), x1, x2)) -> c99(A__U44(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U44(U23(z0), x1, x2)) -> c99(A__U44(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U44(U31(z0, z1), x1, x2)) -> c99(A__U44(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U44(U32(z0, z1), x1, x2)) -> c99(A__U44(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U44(U33(z0), x1, x2)) -> c99(A__U44(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U44(U41(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U44(U42(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U44(U43(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U44(U44(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U44(U45(z0, z1), x1, x2)) -> c99(A__U44(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U44(U46(z0), x1, x2)) -> c99(A__U44(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U44(U51(z0, z1), x1, x2)) -> c99(A__U44(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U44(U52(z0), x1, x2)) -> c99(A__U44(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U44(U61(z0), x1, x2)) -> c99(A__U44(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U44(U71(z0), x1, x2)) -> c99(A__U44(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U44(U81(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U44(U82(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U44(U83(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U44(U84(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U44(U85(z0, z1), x1, x2)) -> c99(A__U44(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U44(U86(z0), x1, x2)) -> c99(A__U44(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U44(U91(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U44(U92(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U44(U93(z0, z1, z2), x1, x2)) -> c99(A__U44(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U44(U94(z0, z1), x1, x2)) -> c99(A__U44(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U44(length(z0), x1, x2)) -> c99(A__U44(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U44(zeros, x1, x2)) -> c99(A__U44(a__zeros, x1, x2)) MARK(U44(cons(z0, z1), x1, x2)) -> c99(MARK(cons(z0, z1))) MARK(U44(tt, x1, x2)) -> c99(A__U44(tt, x1, x2)) MARK(U44(s(z0), x1, x2)) -> c99(MARK(s(z0))) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(A__U44(a__isNatIListKind(z0), x1, x2)) MARK(U44(isNatIListKind(z0), x1, x2)) -> c14(MARK(isNatIListKind(z0))) MARK(U44(isNatList(z0), x1, x2)) -> c14(A__U44(a__isNatList(z0), x1, x2)) MARK(U44(isNatList(z0), x1, x2)) -> c14(MARK(isNatList(z0))) MARK(U44(isNatKind(z0), x1, x2)) -> c14(A__U44(a__isNatKind(z0), x1, x2)) MARK(U44(isNatKind(z0), x1, x2)) -> c14(MARK(isNatKind(z0))) MARK(U44(isNat(z0), x1, x2)) -> c14(A__U44(a__isNat(z0), x1, x2)) MARK(U44(isNat(z0), x1, x2)) -> c14(MARK(isNat(z0))) MARK(U44(isNatIList(z0), x1, x2)) -> c14(A__U44(a__isNatIList(z0), x1, x2)) MARK(U44(isNatIList(z0), x1, x2)) -> c14(MARK(isNatIList(z0))) MARK(U45(U11(z0, z1), x1)) -> c100(A__U45(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U45(U12(z0, z1), x1)) -> c100(A__U45(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U45(U13(z0), x1)) -> c100(A__U45(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U45(U21(z0, z1), x1)) -> c100(A__U45(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U45(U22(z0, z1), x1)) -> c100(A__U45(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U45(U23(z0), x1)) -> c100(A__U45(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U45(U31(z0, z1), x1)) -> c100(A__U45(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U45(U32(z0, z1), x1)) -> c100(A__U45(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U45(U33(z0), x1)) -> c100(A__U45(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U45(U41(z0, z1, z2), x1)) -> c100(A__U45(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U45(U42(z0, z1, z2), x1)) -> c100(A__U45(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U45(U43(z0, z1, z2), x1)) -> c100(A__U45(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U45(U44(z0, z1, z2), x1)) -> c100(A__U45(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U45(U45(z0, z1), x1)) -> c100(A__U45(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U45(U46(z0), x1)) -> c100(A__U45(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U45(U51(z0, z1), x1)) -> c100(A__U45(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U45(U52(z0), x1)) -> c100(A__U45(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U45(U61(z0), x1)) -> c100(A__U45(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U45(U71(z0), x1)) -> c100(A__U45(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U45(U81(z0, z1, z2), x1)) -> c100(A__U45(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U45(U82(z0, z1, z2), x1)) -> c100(A__U45(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U45(U83(z0, z1, z2), x1)) -> c100(A__U45(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U45(U84(z0, z1, z2), x1)) -> c100(A__U45(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U45(U85(z0, z1), x1)) -> c100(A__U45(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U45(U86(z0), x1)) -> c100(A__U45(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U45(U91(z0, z1, z2), x1)) -> c100(A__U45(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U45(U92(z0, z1, z2), x1)) -> c100(A__U45(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U45(U93(z0, z1, z2), x1)) -> c100(A__U45(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U45(U94(z0, z1), x1)) -> c100(A__U45(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U45(length(z0), x1)) -> c100(A__U45(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U45(zeros, x1)) -> c100(A__U45(a__zeros, x1)) MARK(U45(cons(z0, z1), x1)) -> c100(MARK(cons(z0, z1))) MARK(U45(tt, x1)) -> c100(A__U45(tt, x1)) MARK(U45(s(z0), x1)) -> c100(MARK(s(z0))) MARK(U45(isNatIListKind(z0), x1)) -> c15(A__U45(a__isNatIListKind(z0), x1)) MARK(U45(isNatIListKind(z0), x1)) -> c15(MARK(isNatIListKind(z0))) MARK(U45(isNatList(z0), x1)) -> c15(A__U45(a__isNatList(z0), x1)) MARK(U45(isNatList(z0), x1)) -> c15(MARK(isNatList(z0))) MARK(U45(isNatKind(z0), x1)) -> c15(A__U45(a__isNatKind(z0), x1)) MARK(U45(isNatKind(z0), x1)) -> c15(MARK(isNatKind(z0))) MARK(U45(isNat(z0), x1)) -> c15(A__U45(a__isNat(z0), x1)) MARK(U45(isNat(z0), x1)) -> c15(MARK(isNat(z0))) MARK(U45(isNatIList(z0), x1)) -> c15(A__U45(a__isNatIList(z0), x1)) MARK(U45(isNatIList(z0), x1)) -> c15(MARK(isNatIList(z0))) MARK(U51(U11(z0, z1), x1)) -> c103(A__U51(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U51(U12(z0, z1), x1)) -> c103(A__U51(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U51(U13(z0), x1)) -> c103(A__U51(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U51(U21(z0, z1), x1)) -> c103(A__U51(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U51(U22(z0, z1), x1)) -> c103(A__U51(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U51(U23(z0), x1)) -> c103(A__U51(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U51(U31(z0, z1), x1)) -> c103(A__U51(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U51(U32(z0, z1), x1)) -> c103(A__U51(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U51(U33(z0), x1)) -> c103(A__U51(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U51(U41(z0, z1, z2), x1)) -> c103(A__U51(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U51(U42(z0, z1, z2), x1)) -> c103(A__U51(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U51(U43(z0, z1, z2), x1)) -> c103(A__U51(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U51(U44(z0, z1, z2), x1)) -> c103(A__U51(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U51(U45(z0, z1), x1)) -> c103(A__U51(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U51(U46(z0), x1)) -> c103(A__U51(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U51(U51(z0, z1), x1)) -> c103(A__U51(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U51(U52(z0), x1)) -> c103(A__U51(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U51(U61(z0), x1)) -> c103(A__U51(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U51(U71(z0), x1)) -> c103(A__U51(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U51(U81(z0, z1, z2), x1)) -> c103(A__U51(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U51(U82(z0, z1, z2), x1)) -> c103(A__U51(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U51(U83(z0, z1, z2), x1)) -> c103(A__U51(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U51(U84(z0, z1, z2), x1)) -> c103(A__U51(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U51(U85(z0, z1), x1)) -> c103(A__U51(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U51(U86(z0), x1)) -> c103(A__U51(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U51(U91(z0, z1, z2), x1)) -> c103(A__U51(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U51(U92(z0, z1, z2), x1)) -> c103(A__U51(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U51(U93(z0, z1, z2), x1)) -> c103(A__U51(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U51(U94(z0, z1), x1)) -> c103(A__U51(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U51(length(z0), x1)) -> c103(A__U51(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U51(zeros, x1)) -> c103(A__U51(a__zeros, x1)) MARK(U51(cons(z0, z1), x1)) -> c103(MARK(cons(z0, z1))) MARK(U51(tt, x1)) -> c103(A__U51(tt, x1)) MARK(U51(s(z0), x1)) -> c103(MARK(s(z0))) MARK(U51(isNatIListKind(z0), x1)) -> c17(A__U51(a__isNatIListKind(z0), x1)) MARK(U51(isNatIListKind(z0), x1)) -> c17(MARK(isNatIListKind(z0))) MARK(U51(isNatList(z0), x1)) -> c17(A__U51(a__isNatList(z0), x1)) MARK(U51(isNatList(z0), x1)) -> c17(MARK(isNatList(z0))) MARK(U51(isNatKind(z0), x1)) -> c17(A__U51(a__isNatKind(z0), x1)) MARK(U51(isNatKind(z0), x1)) -> c17(MARK(isNatKind(z0))) MARK(U51(isNat(z0), x1)) -> c17(A__U51(a__isNat(z0), x1)) MARK(U51(isNat(z0), x1)) -> c17(MARK(isNat(z0))) MARK(U51(isNatIList(z0), x1)) -> c17(A__U51(a__isNatIList(z0), x1)) MARK(U51(isNatIList(z0), x1)) -> c17(MARK(isNatIList(z0))) MARK(U81(U11(z0, z1), x1, x2)) -> c107(A__U81(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U81(U12(z0, z1), x1, x2)) -> c107(A__U81(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U81(U13(z0), x1, x2)) -> c107(A__U81(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U81(U21(z0, z1), x1, x2)) -> c107(A__U81(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U81(U22(z0, z1), x1, x2)) -> c107(A__U81(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U81(U23(z0), x1, x2)) -> c107(A__U81(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U81(U31(z0, z1), x1, x2)) -> c107(A__U81(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U81(U32(z0, z1), x1, x2)) -> c107(A__U81(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U81(U33(z0), x1, x2)) -> c107(A__U81(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U81(U41(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U81(U42(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U81(U43(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U81(U44(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U81(U45(z0, z1), x1, x2)) -> c107(A__U81(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U81(U46(z0), x1, x2)) -> c107(A__U81(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U81(U51(z0, z1), x1, x2)) -> c107(A__U81(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U81(U52(z0), x1, x2)) -> c107(A__U81(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U81(U61(z0), x1, x2)) -> c107(A__U81(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U81(U71(z0), x1, x2)) -> c107(A__U81(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U81(U81(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U81(U82(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U81(U83(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U81(U84(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U81(U85(z0, z1), x1, x2)) -> c107(A__U81(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U81(U86(z0), x1, x2)) -> c107(A__U81(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U81(U91(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U81(U92(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U81(U93(z0, z1, z2), x1, x2)) -> c107(A__U81(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U81(U94(z0, z1), x1, x2)) -> c107(A__U81(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U81(length(z0), x1, x2)) -> c107(A__U81(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U81(zeros, x1, x2)) -> c107(A__U81(a__zeros, x1, x2)) MARK(U81(cons(z0, z1), x1, x2)) -> c107(MARK(cons(z0, z1))) MARK(U81(tt, x1, x2)) -> c107(A__U81(tt, x1, x2)) MARK(U81(s(z0), x1, x2)) -> c107(MARK(s(z0))) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(A__U81(a__isNatIListKind(z0), x1, x2)) MARK(U81(isNatIListKind(z0), x1, x2)) -> c18(MARK(isNatIListKind(z0))) MARK(U81(isNatList(z0), x1, x2)) -> c18(A__U81(a__isNatList(z0), x1, x2)) MARK(U81(isNatList(z0), x1, x2)) -> c18(MARK(isNatList(z0))) MARK(U81(isNatKind(z0), x1, x2)) -> c18(A__U81(a__isNatKind(z0), x1, x2)) MARK(U81(isNatKind(z0), x1, x2)) -> c18(MARK(isNatKind(z0))) MARK(U81(isNat(z0), x1, x2)) -> c18(A__U81(a__isNat(z0), x1, x2)) MARK(U81(isNat(z0), x1, x2)) -> c18(MARK(isNat(z0))) MARK(U81(isNatIList(z0), x1, x2)) -> c18(A__U81(a__isNatIList(z0), x1, x2)) MARK(U81(isNatIList(z0), x1, x2)) -> c18(MARK(isNatIList(z0))) MARK(U82(U11(z0, z1), x1, x2)) -> c108(A__U82(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U82(U12(z0, z1), x1, x2)) -> c108(A__U82(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U82(U13(z0), x1, x2)) -> c108(A__U82(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U82(U21(z0, z1), x1, x2)) -> c108(A__U82(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U82(U22(z0, z1), x1, x2)) -> c108(A__U82(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U82(U23(z0), x1, x2)) -> c108(A__U82(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U82(U31(z0, z1), x1, x2)) -> c108(A__U82(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U82(U32(z0, z1), x1, x2)) -> c108(A__U82(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U82(U33(z0), x1, x2)) -> c108(A__U82(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U82(U41(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U82(U42(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U82(U43(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U82(U44(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U82(U45(z0, z1), x1, x2)) -> c108(A__U82(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U82(U46(z0), x1, x2)) -> c108(A__U82(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U82(U51(z0, z1), x1, x2)) -> c108(A__U82(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U82(U52(z0), x1, x2)) -> c108(A__U82(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U82(U61(z0), x1, x2)) -> c108(A__U82(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U82(U71(z0), x1, x2)) -> c108(A__U82(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U82(U81(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U82(U82(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U82(U83(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U82(U84(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U82(U85(z0, z1), x1, x2)) -> c108(A__U82(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U82(U86(z0), x1, x2)) -> c108(A__U82(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U82(U91(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U82(U92(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U82(U93(z0, z1, z2), x1, x2)) -> c108(A__U82(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U82(U94(z0, z1), x1, x2)) -> c108(A__U82(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U82(length(z0), x1, x2)) -> c108(A__U82(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U82(zeros, x1, x2)) -> c108(A__U82(a__zeros, x1, x2)) MARK(U82(cons(z0, z1), x1, x2)) -> c108(MARK(cons(z0, z1))) MARK(U82(tt, x1, x2)) -> c108(A__U82(tt, x1, x2)) MARK(U82(s(z0), x1, x2)) -> c108(MARK(s(z0))) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(A__U82(a__isNatIListKind(z0), x1, x2)) MARK(U82(isNatIListKind(z0), x1, x2)) -> c19(MARK(isNatIListKind(z0))) MARK(U82(isNatList(z0), x1, x2)) -> c19(A__U82(a__isNatList(z0), x1, x2)) MARK(U82(isNatList(z0), x1, x2)) -> c19(MARK(isNatList(z0))) MARK(U82(isNatKind(z0), x1, x2)) -> c19(A__U82(a__isNatKind(z0), x1, x2)) MARK(U82(isNatKind(z0), x1, x2)) -> c19(MARK(isNatKind(z0))) MARK(U82(isNat(z0), x1, x2)) -> c19(A__U82(a__isNat(z0), x1, x2)) MARK(U82(isNat(z0), x1, x2)) -> c19(MARK(isNat(z0))) MARK(U82(isNatIList(z0), x1, x2)) -> c19(A__U82(a__isNatIList(z0), x1, x2)) MARK(U82(isNatIList(z0), x1, x2)) -> c19(MARK(isNatIList(z0))) MARK(U83(U11(z0, z1), x1, x2)) -> c109(A__U83(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U83(U12(z0, z1), x1, x2)) -> c109(A__U83(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U83(U13(z0), x1, x2)) -> c109(A__U83(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U83(U21(z0, z1), x1, x2)) -> c109(A__U83(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U83(U22(z0, z1), x1, x2)) -> c109(A__U83(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U83(U23(z0), x1, x2)) -> c109(A__U83(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U83(U31(z0, z1), x1, x2)) -> c109(A__U83(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U83(U32(z0, z1), x1, x2)) -> c109(A__U83(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U83(U33(z0), x1, x2)) -> c109(A__U83(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U83(U41(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U83(U42(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U83(U43(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U83(U44(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U83(U45(z0, z1), x1, x2)) -> c109(A__U83(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U83(U46(z0), x1, x2)) -> c109(A__U83(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U83(U51(z0, z1), x1, x2)) -> c109(A__U83(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U83(U52(z0), x1, x2)) -> c109(A__U83(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U83(U61(z0), x1, x2)) -> c109(A__U83(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U83(U71(z0), x1, x2)) -> c109(A__U83(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U83(U81(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U83(U82(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U83(U83(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U83(U84(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U83(U85(z0, z1), x1, x2)) -> c109(A__U83(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U83(U86(z0), x1, x2)) -> c109(A__U83(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U83(U91(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U83(U92(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U83(U93(z0, z1, z2), x1, x2)) -> c109(A__U83(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U83(U94(z0, z1), x1, x2)) -> c109(A__U83(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U83(length(z0), x1, x2)) -> c109(A__U83(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U83(zeros, x1, x2)) -> c109(A__U83(a__zeros, x1, x2)) MARK(U83(cons(z0, z1), x1, x2)) -> c109(MARK(cons(z0, z1))) MARK(U83(tt, x1, x2)) -> c109(A__U83(tt, x1, x2)) MARK(U83(s(z0), x1, x2)) -> c109(MARK(s(z0))) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(A__U83(a__isNatIListKind(z0), x1, x2)) MARK(U83(isNatIListKind(z0), x1, x2)) -> c21(MARK(isNatIListKind(z0))) MARK(U83(isNatList(z0), x1, x2)) -> c21(A__U83(a__isNatList(z0), x1, x2)) MARK(U83(isNatList(z0), x1, x2)) -> c21(MARK(isNatList(z0))) MARK(U83(isNatKind(z0), x1, x2)) -> c21(A__U83(a__isNatKind(z0), x1, x2)) MARK(U83(isNatKind(z0), x1, x2)) -> c21(MARK(isNatKind(z0))) MARK(U83(isNat(z0), x1, x2)) -> c21(A__U83(a__isNat(z0), x1, x2)) MARK(U83(isNat(z0), x1, x2)) -> c21(MARK(isNat(z0))) MARK(U83(isNatIList(z0), x1, x2)) -> c21(A__U83(a__isNatIList(z0), x1, x2)) MARK(U83(isNatIList(z0), x1, x2)) -> c21(MARK(isNatIList(z0))) MARK(U84(U11(z0, z1), x1, x2)) -> c110(A__U84(a__U11(mark(z0), z1), x1, x2), MARK(U11(z0, z1))) MARK(U84(U12(z0, z1), x1, x2)) -> c110(A__U84(a__U12(mark(z0), z1), x1, x2), MARK(U12(z0, z1))) MARK(U84(U13(z0), x1, x2)) -> c110(A__U84(a__U13(mark(z0)), x1, x2), MARK(U13(z0))) MARK(U84(U21(z0, z1), x1, x2)) -> c110(A__U84(a__U21(mark(z0), z1), x1, x2), MARK(U21(z0, z1))) MARK(U84(U22(z0, z1), x1, x2)) -> c110(A__U84(a__U22(mark(z0), z1), x1, x2), MARK(U22(z0, z1))) MARK(U84(U23(z0), x1, x2)) -> c110(A__U84(a__U23(mark(z0)), x1, x2), MARK(U23(z0))) MARK(U84(U31(z0, z1), x1, x2)) -> c110(A__U84(a__U31(mark(z0), z1), x1, x2), MARK(U31(z0, z1))) MARK(U84(U32(z0, z1), x1, x2)) -> c110(A__U84(a__U32(mark(z0), z1), x1, x2), MARK(U32(z0, z1))) MARK(U84(U33(z0), x1, x2)) -> c110(A__U84(a__U33(mark(z0)), x1, x2), MARK(U33(z0))) MARK(U84(U41(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U41(mark(z0), z1, z2), x1, x2), MARK(U41(z0, z1, z2))) MARK(U84(U42(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U42(mark(z0), z1, z2), x1, x2), MARK(U42(z0, z1, z2))) MARK(U84(U43(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U43(mark(z0), z1, z2), x1, x2), MARK(U43(z0, z1, z2))) MARK(U84(U44(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U44(mark(z0), z1, z2), x1, x2), MARK(U44(z0, z1, z2))) MARK(U84(U45(z0, z1), x1, x2)) -> c110(A__U84(a__U45(mark(z0), z1), x1, x2), MARK(U45(z0, z1))) MARK(U84(U46(z0), x1, x2)) -> c110(A__U84(a__U46(mark(z0)), x1, x2), MARK(U46(z0))) MARK(U84(U51(z0, z1), x1, x2)) -> c110(A__U84(a__U51(mark(z0), z1), x1, x2), MARK(U51(z0, z1))) MARK(U84(U52(z0), x1, x2)) -> c110(A__U84(a__U52(mark(z0)), x1, x2), MARK(U52(z0))) MARK(U84(U61(z0), x1, x2)) -> c110(A__U84(a__U61(mark(z0)), x1, x2), MARK(U61(z0))) MARK(U84(U71(z0), x1, x2)) -> c110(A__U84(a__U71(mark(z0)), x1, x2), MARK(U71(z0))) MARK(U84(U81(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U81(mark(z0), z1, z2), x1, x2), MARK(U81(z0, z1, z2))) MARK(U84(U82(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U82(mark(z0), z1, z2), x1, x2), MARK(U82(z0, z1, z2))) MARK(U84(U83(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U83(mark(z0), z1, z2), x1, x2), MARK(U83(z0, z1, z2))) MARK(U84(U84(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U84(mark(z0), z1, z2), x1, x2), MARK(U84(z0, z1, z2))) MARK(U84(U85(z0, z1), x1, x2)) -> c110(A__U84(a__U85(mark(z0), z1), x1, x2), MARK(U85(z0, z1))) MARK(U84(U86(z0), x1, x2)) -> c110(A__U84(a__U86(mark(z0)), x1, x2), MARK(U86(z0))) MARK(U84(U91(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U91(mark(z0), z1, z2), x1, x2), MARK(U91(z0, z1, z2))) MARK(U84(U92(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U92(mark(z0), z1, z2), x1, x2), MARK(U92(z0, z1, z2))) MARK(U84(U93(z0, z1, z2), x1, x2)) -> c110(A__U84(a__U93(mark(z0), z1, z2), x1, x2), MARK(U93(z0, z1, z2))) MARK(U84(U94(z0, z1), x1, x2)) -> c110(A__U84(a__U94(mark(z0), z1), x1, x2), MARK(U94(z0, z1))) MARK(U84(length(z0), x1, x2)) -> c110(A__U84(a__length(mark(z0)), x1, x2), MARK(length(z0))) MARK(U84(zeros, x1, x2)) -> c110(A__U84(a__zeros, x1, x2)) MARK(U84(cons(z0, z1), x1, x2)) -> c110(MARK(cons(z0, z1))) MARK(U84(tt, x1, x2)) -> c110(A__U84(tt, x1, x2)) MARK(U84(s(z0), x1, x2)) -> c110(MARK(s(z0))) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(A__U84(a__isNatIListKind(z0), x1, x2)) MARK(U84(isNatIListKind(z0), x1, x2)) -> c23(MARK(isNatIListKind(z0))) MARK(U84(isNatList(z0), x1, x2)) -> c23(A__U84(a__isNatList(z0), x1, x2)) MARK(U84(isNatList(z0), x1, x2)) -> c23(MARK(isNatList(z0))) MARK(U84(isNatKind(z0), x1, x2)) -> c23(A__U84(a__isNatKind(z0), x1, x2)) MARK(U84(isNatKind(z0), x1, x2)) -> c23(MARK(isNatKind(z0))) MARK(U84(isNat(z0), x1, x2)) -> c23(A__U84(a__isNat(z0), x1, x2)) MARK(U84(isNat(z0), x1, x2)) -> c23(MARK(isNat(z0))) MARK(U84(isNatIList(z0), x1, x2)) -> c23(A__U84(a__isNatIList(z0), x1, x2)) MARK(U84(isNatIList(z0), x1, x2)) -> c23(MARK(isNatIList(z0))) MARK(U85(U11(z0, z1), x1)) -> c111(A__U85(a__U11(mark(z0), z1), x1), MARK(U11(z0, z1))) MARK(U85(U12(z0, z1), x1)) -> c111(A__U85(a__U12(mark(z0), z1), x1), MARK(U12(z0, z1))) MARK(U85(U13(z0), x1)) -> c111(A__U85(a__U13(mark(z0)), x1), MARK(U13(z0))) MARK(U85(U21(z0, z1), x1)) -> c111(A__U85(a__U21(mark(z0), z1), x1), MARK(U21(z0, z1))) MARK(U85(U22(z0, z1), x1)) -> c111(A__U85(a__U22(mark(z0), z1), x1), MARK(U22(z0, z1))) MARK(U85(U23(z0), x1)) -> c111(A__U85(a__U23(mark(z0)), x1), MARK(U23(z0))) MARK(U85(U31(z0, z1), x1)) -> c111(A__U85(a__U31(mark(z0), z1), x1), MARK(U31(z0, z1))) MARK(U85(U32(z0, z1), x1)) -> c111(A__U85(a__U32(mark(z0), z1), x1), MARK(U32(z0, z1))) MARK(U85(U33(z0), x1)) -> c111(A__U85(a__U33(mark(z0)), x1), MARK(U33(z0))) MARK(U85(U41(z0, z1, z2), x1)) -> c111(A__U85(a__U41(mark(z0), z1, z2), x1), MARK(U41(z0, z1, z2))) MARK(U85(U42(z0, z1, z2), x1)) -> c111(A__U85(a__U42(mark(z0), z1, z2), x1), MARK(U42(z0, z1, z2))) MARK(U85(U43(z0, z1, z2), x1)) -> c111(A__U85(a__U43(mark(z0), z1, z2), x1), MARK(U43(z0, z1, z2))) MARK(U85(U44(z0, z1, z2), x1)) -> c111(A__U85(a__U44(mark(z0), z1, z2), x1), MARK(U44(z0, z1, z2))) MARK(U85(U45(z0, z1), x1)) -> c111(A__U85(a__U45(mark(z0), z1), x1), MARK(U45(z0, z1))) MARK(U85(U46(z0), x1)) -> c111(A__U85(a__U46(mark(z0)), x1), MARK(U46(z0))) MARK(U85(U51(z0, z1), x1)) -> c111(A__U85(a__U51(mark(z0), z1), x1), MARK(U51(z0, z1))) MARK(U85(U52(z0), x1)) -> c111(A__U85(a__U52(mark(z0)), x1), MARK(U52(z0))) MARK(U85(U61(z0), x1)) -> c111(A__U85(a__U61(mark(z0)), x1), MARK(U61(z0))) MARK(U85(U71(z0), x1)) -> c111(A__U85(a__U71(mark(z0)), x1), MARK(U71(z0))) MARK(U85(U81(z0, z1, z2), x1)) -> c111(A__U85(a__U81(mark(z0), z1, z2), x1), MARK(U81(z0, z1, z2))) MARK(U85(U82(z0, z1, z2), x1)) -> c111(A__U85(a__U82(mark(z0), z1, z2), x1), MARK(U82(z0, z1, z2))) MARK(U85(U83(z0, z1, z2), x1)) -> c111(A__U85(a__U83(mark(z0), z1, z2), x1), MARK(U83(z0, z1, z2))) MARK(U85(U84(z0, z1, z2), x1)) -> c111(A__U85(a__U84(mark(z0), z1, z2), x1), MARK(U84(z0, z1, z2))) MARK(U85(U85(z0, z1), x1)) -> c111(A__U85(a__U85(mark(z0), z1), x1), MARK(U85(z0, z1))) MARK(U85(U86(z0), x1)) -> c111(A__U85(a__U86(mark(z0)), x1), MARK(U86(z0))) MARK(U85(U91(z0, z1, z2), x1)) -> c111(A__U85(a__U91(mark(z0), z1, z2), x1), MARK(U91(z0, z1, z2))) MARK(U85(U92(z0, z1, z2), x1)) -> c111(A__U85(a__U92(mark(z0), z1, z2), x1), MARK(U92(z0, z1, z2))) MARK(U85(U93(z0, z1, z2), x1)) -> c111(A__U85(a__U93(mark(z0), z1, z2), x1), MARK(U93(z0, z1, z2))) MARK(U85(U94(z0, z1), x1)) -> c111(A__U85(a__U94(mark(z0), z1), x1), MARK(U94(z0, z1))) MARK(U85(length(z0), x1)) -> c111(A__U85(a__length(mark(z0)), x1), MARK(length(z0))) MARK(U85(zeros, x1)) -> c111(A__U85(a__zeros, x1)) MARK(U85(cons(z0, z1), x1)) -> c111(MARK(cons(z0, z1))) MARK(U85(tt, x1)) -> c111(A__U85(tt, x1)) MARK(U85(s(z0), x1)) -> c111(MARK(s(z0))) MARK(U85(isNatIListKind(z0), x1)) -> c25(A__U85(a__isNatIListKind(z0), x1)) MARK(U85(isNatIListKind(z0), x1)) -> c25(MARK(isNatIListKind(z0))) MARK(U85(isNatList(z0), x1)) -> c25(A__U85(a__isNatList(z0), x1)) MARK(U85(isNatList(z0), x1)) -> c25(MARK(isNatList(z0))) MARK(U85(isNatKind(z0), x1)) -> c25(A__U85(a__isNatKind(z0), x1)) MARK(U85(isNatKind(z0), x1)) -> c25(MARK(isNatKind(z0))) MARK(U85(isNat(z0), x1)) -> c25(A__U85(a__isNat(z0), x1)) MARK(U85(isNat(z0), x1)) -> c25(MARK(isNat(z0))) MARK(U85(isNatIList(z0), x1)) -> c25(A__U85(a__isNatIList(z0), x1)) MARK(U85(isNatIList(z0), x1)) -> c25(MARK(isNatIList(z0))) K tuples:none Defined Rule Symbols: a__zeros, a__U11_2, a__U12_2, a__U13_1, a__U21_2, a__U22_2, a__U23_1, a__U31_2, a__U32_2, a__U33_1, a__U41_3, a__U42_3, a__U43_3, a__U44_3, a__U45_2, a__U46_1, a__U51_2, a__U52_1, a__U61_1, a__U71_1, a__U81_3, a__U82_3, a__U83_3, a__U84_3, a__U85_2, a__U86_1, a__U91_3, a__U92_3, a__U93_3, a__U94_2, a__isNat_1, a__isNatIList_1, a__isNatIListKind_1, a__isNatKind_1, a__isNatList_1, a__length_1, mark_1 Defined Pair Symbols: MARK_1, A__U12_2, A__U22_2, A__U32_2, A__U45_2, A__U51_2, A__U85_2, A__ISNATKIND_1, A__U31_2, A__ISNATILIST_1, A__U11_2, A__U21_2, A__U41_3, A__U42_3, A__U43_3, A__U44_3, A__U81_3, A__U82_3, A__U83_3, A__U84_3, A__U91_3, A__U92_3, A__U93_3, A__U94_2, A__ISNAT_1, A__ISNATILISTKIND_1, A__ISNATLIST_1, A__LENGTH_1 Compound Symbols: c85_1, c87_1, c90_1, c92_1, c102_1, c113_2, c114_2, c115_2, c116_2, c117_2, c118_1, c121_1, c4_1, c10_1, c16_1, c28_1, c32_1, c48_1, c73_1, c74_1, c86_1, c91_1, c95_1, c101_1, c104_1, c105_1, c106_1, c112_1, c_1, c2_2, c2_1, c8_2, c8_1, c20_2, c20_1, c22_2, c22_1, c24_2, c24_1, c26_2, c26_1, c40_2, c40_1, c42_2, c42_1, c44_2, c44_1, c46_2, c46_1, c52_2, c52_1, c54_2, c54_1, c56_2, c56_1, c58_2, c58_1, c61_2, c61_1, c62_2, c62_1, c66_2, c66_1, c70_2, c70_1, c77_2, c77_1, c80_2, c80_1, c83_2, c83_1, c1_1, c84_2, c84_1, c3_1, c88_2, c88_1, c5_1, c89_2, c89_1, c6_1, c93_2, c93_1, c7_1, c94_2, c94_1, c9_1, c96_2, c96_1, c11_1, c97_2, c97_1, c12_1, c98_2, c98_1, c13_1, c99_2, c99_1, c14_1, c100_2, c100_1, c15_1, c103_2, c103_1, c17_1, c107_2, c107_1, c18_1, c108_2, c108_1, c19_1, c109_2, c109_1, c21_1, c110_2, c110_1, c23_1, c111_2, c111_1, c25_1